clear; clc; close all;
mean_shape(1, 1, 1) = 4.98796;
mean_shape(1, 1, 2) = 0.245043;
mean_shape(1, 1, 3) = 0;
mean_shape(1, 2, 1) = 4.96879;
mean_shape(1, 2, 2) = 0.244101;
mean_shape(1, 2, 3) = 0.19509;
mean_shape(1, 3, 1) = 4.91202;
mean_shape(1, 3, 2) = 0.241312;
mean_shape(1, 3, 3) = 0.382683;
mean_shape(1, 4, 1) = 4.81984;
mean_shape(1, 4, 2) = 0.236783;
mean_shape(1, 4, 3) = 0.55557;
mean_shape(1, 5, 1) = 4.69577;
mean_shape(1, 5, 2) = 0.230689;
mean_shape(1, 5, 3) = 0.707107;
mean_shape(1, 6, 1) = 4.5446;
mean_shape(1, 6, 2) = 0.223262;
mean_shape(1, 6, 3) = 0.83147;
mean_shape(1, 7, 1) = 4.37213;
mean_shape(1, 7, 2) = 0.214789;
mean_shape(1, 7, 3) = 0.92388;
mean_shape(1, 8, 1) = 4.18499;
mean_shape(1, 8, 2) = 0.205595;
mean_shape(1, 8, 3) = 0.980785;
mean_shape(1, 9, 1) = 3.99037;
mean_shape(1, 9, 2) = 0.196034;
mean_shape(1, 9, 3) = 1;
mean_shape(1, 10, 1) = 3.79575;
mean_shape(1, 10, 2) = 0.186473;
mean_shape(1, 10, 3) = 0.980785;
mean_shape(1, 11, 1) = 3.60861;
mean_shape(1, 11, 2) = 0.17728;
mean_shape(1, 11, 3) = 0.92388;
mean_shape(1, 12, 1) = 3.43614;
mean_shape(1, 12, 2) = 0.168807;
mean_shape(1, 12, 3) = 0.83147;
mean_shape(1, 13, 1) = 3.28497;
mean_shape(1, 13, 2) = 0.16138;
mean_shape(1, 13, 3) = 0.707107;
mean_shape(1, 14, 1) = 3.1609;
mean_shape(1, 14, 2) = 0.155285;
mean_shape(1, 14, 3) = 0.55557;
mean_shape(1, 15, 1) = 3.06871;
mean_shape(1, 15, 2) = 0.150756;
mean_shape(1, 15, 3) = 0.382683;
mean_shape(1, 16, 1) = 3.01195;
mean_shape(1, 16, 2) = 0.147967;
mean_shape(1, 16, 3) = 0.19509;
mean_shape(1, 17, 1) = 2.99278;
mean_shape(1, 17, 2) = 0.147026;
mean_shape(1, 17, 3) = 1.22465e-016;
mean_shape(1, 18, 1) = 3.01195;
mean_shape(1, 18, 2) = 0.147967;
mean_shape(1, 18, 3) = -0.19509;
mean_shape(1, 19, 1) = 3.06871;
mean_shape(1, 19, 2) = 0.150756;
mean_shape(1, 19, 3) = -0.382683;
mean_shape(1, 20, 1) = 3.1609;
mean_shape(1, 20, 2) = 0.155285;
mean_shape(1, 20, 3) = -0.55557;
mean_shape(1, 21, 1) = 3.28497;
mean_shape(1, 21, 2) = 0.16138;
mean_shape(1, 21, 3) = -0.707107;
mean_shape(1, 22, 1) = 3.43614;
mean_shape(1, 22, 2) = 0.168807;
mean_shape(1, 22, 3) = -0.83147;
mean_shape(1, 23, 1) = 3.60861;
mean_shape(1, 23, 2) = 0.17728;
mean_shape(1, 23, 3) = -0.92388;
mean_shape(1, 24, 1) = 3.79575;
mean_shape(1, 24, 2) = 0.186473;
mean_shape(1, 24, 3) = -0.980785;
mean_shape(1, 25, 1) = 3.99037;
mean_shape(1, 25, 2) = 0.196034;
mean_shape(1, 25, 3) = -1;
mean_shape(1, 26, 1) = 4.18499;
mean_shape(1, 26, 2) = 0.205595;
mean_shape(1, 26, 3) = -0.980785;
mean_shape(1, 27, 1) = 4.37213;
mean_shape(1, 27, 2) = 0.214789;
mean_shape(1, 27, 3) = -0.92388;
mean_shape(1, 28, 1) = 4.5446;
mean_shape(1, 28, 2) = 0.223262;
mean_shape(1, 28, 3) = -0.83147;
mean_shape(1, 29, 1) = 4.69577;
mean_shape(1, 29, 2) = 0.230689;
mean_shape(1, 29, 3) = -0.707107;
mean_shape(1, 30, 1) = 4.81984;
mean_shape(1, 30, 2) = 0.236783;
mean_shape(1, 30, 3) = -0.55557;
mean_shape(1, 31, 1) = 4.91202;
mean_shape(1, 31, 2) = 0.241312;
mean_shape(1, 31, 3) = -0.382683;
mean_shape(1, 32, 1) = 4.96879;
mean_shape(1, 32, 2) = 0.244101;
mean_shape(1, 32, 3) = -0.19509;
mean_shape(2, 1, 1) = 4.84431;
mean_shape(2, 1, 2) = 1.21344;
mean_shape(2, 1, 3) = 0;
mean_shape(2, 2, 1) = 4.8257;
mean_shape(2, 2, 2) = 1.20877;
mean_shape(2, 2, 3) = 0.19509;
mean_shape(2, 3, 1) = 4.77056;
mean_shape(2, 3, 2) = 1.19496;
mean_shape(2, 3, 3) = 0.382683;
mean_shape(2, 4, 1) = 4.68103;
mean_shape(2, 4, 2) = 1.17254;
mean_shape(2, 4, 3) = 0.55557;
mean_shape(2, 5, 1) = 4.56054;
mean_shape(2, 5, 2) = 1.14236;
mean_shape(2, 5, 3) = 0.707107;
mean_shape(2, 6, 1) = 4.41372;
mean_shape(2, 6, 2) = 1.10558;
mean_shape(2, 6, 3) = 0.83147;
mean_shape(2, 7, 1) = 4.24622;
mean_shape(2, 7, 2) = 1.06362;
mean_shape(2, 7, 3) = 0.92388;
mean_shape(2, 8, 1) = 4.06447;
mean_shape(2, 8, 2) = 1.0181;
mean_shape(2, 8, 3) = 0.980785;
mean_shape(2, 9, 1) = 3.87545;
mean_shape(2, 9, 2) = 0.97075;
mean_shape(2, 9, 3) = 1;
mean_shape(2, 10, 1) = 3.68644;
mean_shape(2, 10, 2) = 0.923404;
mean_shape(2, 10, 3) = 0.980785;
mean_shape(2, 11, 1) = 3.50468;
mean_shape(2, 11, 2) = 0.877878;
mean_shape(2, 11, 3) = 0.92388;
mean_shape(2, 12, 1) = 3.33718;
mean_shape(2, 12, 2) = 0.83592;
mean_shape(2, 12, 3) = 0.83147;
mean_shape(2, 13, 1) = 3.19036;
mean_shape(2, 13, 2) = 0.799144;
mean_shape(2, 13, 3) = 0.707107;
mean_shape(2, 14, 1) = 3.06987;
mean_shape(2, 14, 2) = 0.768963;
mean_shape(2, 14, 3) = 0.55557;
mean_shape(2, 15, 1) = 2.98034;
mean_shape(2, 15, 2) = 0.746536;
mean_shape(2, 15, 3) = 0.382683;
mean_shape(2, 16, 1) = 2.9252;
mean_shape(2, 16, 2) = 0.732726;
mean_shape(2, 16, 3) = 0.19509;
mean_shape(2, 17, 1) = 2.90659;
mean_shape(2, 17, 2) = 0.728062;
mean_shape(2, 17, 3) = 1.22465e-016;
mean_shape(2, 18, 1) = 2.9252;
mean_shape(2, 18, 2) = 0.732726;
mean_shape(2, 18, 3) = -0.19509;
mean_shape(2, 19, 1) = 2.98034;
mean_shape(2, 19, 2) = 0.746536;
mean_shape(2, 19, 3) = -0.382683;
mean_shape(2, 20, 1) = 3.06987;
mean_shape(2, 20, 2) = 0.768963;
mean_shape(2, 20, 3) = -0.55557;
mean_shape(2, 21, 1) = 3.19036;
mean_shape(2, 21, 2) = 0.799144;
mean_shape(2, 21, 3) = -0.707107;
mean_shape(2, 22, 1) = 3.33718;
mean_shape(2, 22, 2) = 0.83592;
mean_shape(2, 22, 3) = -0.83147;
mean_shape(2, 23, 1) = 3.50468;
mean_shape(2, 23, 2) = 0.877878;
mean_shape(2, 23, 3) = -0.92388;
mean_shape(2, 24, 1) = 3.68644;
mean_shape(2, 24, 2) = 0.923404;
mean_shape(2, 24, 3) = -0.980785;
mean_shape(2, 25, 1) = 3.87545;
mean_shape(2, 25, 2) = 0.97075;
mean_shape(2, 25, 3) = -1;
mean_shape(2, 26, 1) = 4.06447;
mean_shape(2, 26, 2) = 1.0181;
mean_shape(2, 26, 3) = -0.980785;
mean_shape(2, 27, 1) = 4.24622;
mean_shape(2, 27, 2) = 1.06362;
mean_shape(2, 27, 3) = -0.92388;
mean_shape(2, 28, 1) = 4.41372;
mean_shape(2, 28, 2) = 1.10558;
mean_shape(2, 28, 3) = -0.83147;
mean_shape(2, 29, 1) = 4.56054;
mean_shape(2, 29, 2) = 1.14236;
mean_shape(2, 29, 3) = -0.707107;
mean_shape(2, 30, 1) = 4.68103;
mean_shape(2, 30, 2) = 1.17254;
mean_shape(2, 30, 3) = -0.55557;
mean_shape(2, 31, 1) = 4.77056;
mean_shape(2, 31, 2) = 1.19496;
mean_shape(2, 31, 3) = -0.382683;
mean_shape(2, 32, 1) = 4.8257;
mean_shape(2, 32, 2) = 1.20877;
mean_shape(2, 32, 3) = -0.19509;
mean_shape(3, 1, 1) = 4.5145;
mean_shape(3, 1, 2) = 2.1352;
mean_shape(3, 1, 3) = 0;
mean_shape(3, 2, 1) = 4.49715;
mean_shape(3, 2, 2) = 2.12699;
mean_shape(3, 2, 3) = 0.19509;
mean_shape(3, 3, 1) = 4.44577;
mean_shape(3, 3, 2) = 2.10269;
mean_shape(3, 3, 3) = 0.382683;
mean_shape(3, 4, 1) = 4.36234;
mean_shape(3, 4, 2) = 2.06323;
mean_shape(3, 4, 3) = 0.55557;
mean_shape(3, 5, 1) = 4.25005;
mean_shape(3, 5, 2) = 2.01012;
mean_shape(3, 5, 3) = 0.707107;
mean_shape(3, 6, 1) = 4.11323;
mean_shape(3, 6, 2) = 1.94541;
mean_shape(3, 6, 3) = 0.83147;
mean_shape(3, 7, 1) = 3.95713;
mean_shape(3, 7, 2) = 1.87158;
mean_shape(3, 7, 3) = 0.92388;
mean_shape(3, 8, 1) = 3.78775;
mean_shape(3, 8, 2) = 1.79147;
mean_shape(3, 8, 3) = 0.980785;
mean_shape(3, 9, 1) = 3.6116;
mean_shape(3, 9, 2) = 1.70816;
mean_shape(3, 9, 3) = 1;
mean_shape(3, 10, 1) = 3.43545;
mean_shape(3, 10, 2) = 1.62485;
mean_shape(3, 10, 3) = 0.980785;
mean_shape(3, 11, 1) = 3.26608;
mean_shape(3, 11, 2) = 1.54474;
mean_shape(3, 11, 3) = 0.92388;
mean_shape(3, 12, 1) = 3.10998;
mean_shape(3, 12, 2) = 1.47091;
mean_shape(3, 12, 3) = 0.83147;
mean_shape(3, 13, 1) = 2.97315;
mean_shape(3, 13, 2) = 1.4062;
mean_shape(3, 13, 3) = 0.707107;
mean_shape(3, 14, 1) = 2.86087;
mean_shape(3, 14, 2) = 1.35309;
mean_shape(3, 14, 3) = 0.55557;
mean_shape(3, 15, 1) = 2.77743;
mean_shape(3, 15, 2) = 1.31363;
mean_shape(3, 15, 3) = 0.382683;
mean_shape(3, 16, 1) = 2.72605;
mean_shape(3, 16, 2) = 1.28933;
mean_shape(3, 16, 3) = 0.19509;
mean_shape(3, 17, 1) = 2.7087;
mean_shape(3, 17, 2) = 1.28112;
mean_shape(3, 17, 3) = 1.22465e-016;
mean_shape(3, 18, 1) = 2.72605;
mean_shape(3, 18, 2) = 1.28933;
mean_shape(3, 18, 3) = -0.19509;
mean_shape(3, 19, 1) = 2.77743;
mean_shape(3, 19, 2) = 1.31363;
mean_shape(3, 19, 3) = -0.382683;
mean_shape(3, 20, 1) = 2.86087;
mean_shape(3, 20, 2) = 1.35309;
mean_shape(3, 20, 3) = -0.55557;
mean_shape(3, 21, 1) = 2.97315;
mean_shape(3, 21, 2) = 1.4062;
mean_shape(3, 21, 3) = -0.707107;
mean_shape(3, 22, 1) = 3.10998;
mean_shape(3, 22, 2) = 1.47091;
mean_shape(3, 22, 3) = -0.83147;
mean_shape(3, 23, 1) = 3.26608;
mean_shape(3, 23, 2) = 1.54474;
mean_shape(3, 23, 3) = -0.92388;
mean_shape(3, 24, 1) = 3.43545;
mean_shape(3, 24, 2) = 1.62485;
mean_shape(3, 24, 3) = -0.980785;
mean_shape(3, 25, 1) = 3.6116;
mean_shape(3, 25, 2) = 1.70816;
mean_shape(3, 25, 3) = -1;
mean_shape(3, 26, 1) = 3.78775;
mean_shape(3, 26, 2) = 1.79147;
mean_shape(3, 26, 3) = -0.980785;
mean_shape(3, 27, 1) = 3.95713;
mean_shape(3, 27, 2) = 1.87158;
mean_shape(3, 27, 3) = -0.92388;
mean_shape(3, 28, 1) = 4.11323;
mean_shape(3, 28, 2) = 1.94541;
mean_shape(3, 28, 3) = -0.83147;
mean_shape(3, 29, 1) = 4.25005;
mean_shape(3, 29, 2) = 2.01012;
mean_shape(3, 29, 3) = -0.707107;
mean_shape(3, 30, 1) = 4.36234;
mean_shape(3, 30, 2) = 2.06323;
mean_shape(3, 30, 3) = -0.55557;
mean_shape(3, 31, 1) = 4.44577;
mean_shape(3, 31, 2) = 2.10269;
mean_shape(3, 31, 3) = -0.382683;
mean_shape(3, 32, 1) = 4.49715;
mean_shape(3, 32, 2) = 2.12699;
mean_shape(3, 32, 3) = -0.19509;
mean_shape(4, 1, 1) = 4.0112;
mean_shape(4, 1, 2) = 2.97491;
mean_shape(4, 1, 3) = 0;
mean_shape(4, 2, 1) = 3.99579;
mean_shape(4, 2, 2) = 2.96348;
mean_shape(4, 2, 3) = 0.19509;
mean_shape(4, 3, 1) = 3.95013;
mean_shape(4, 3, 2) = 2.92962;
mean_shape(4, 3, 3) = 0.382683;
mean_shape(4, 4, 1) = 3.876;
mean_shape(4, 4, 2) = 2.87464;
mean_shape(4, 4, 3) = 0.55557;
mean_shape(4, 5, 1) = 3.77623;
mean_shape(4, 5, 2) = 2.80064;
mean_shape(4, 5, 3) = 0.707107;
mean_shape(4, 6, 1) = 3.65466;
mean_shape(4, 6, 2) = 2.71048;
mean_shape(4, 6, 3) = 0.83147;
mean_shape(4, 7, 1) = 3.51596;
mean_shape(4, 7, 2) = 2.60762;
mean_shape(4, 7, 3) = 0.92388;
mean_shape(4, 8, 1) = 3.36547;
mean_shape(4, 8, 2) = 2.496;
mean_shape(4, 8, 3) = 0.980785;
mean_shape(4, 9, 1) = 3.20896;
mean_shape(4, 9, 2) = 2.37993;
mean_shape(4, 9, 3) = 1;
mean_shape(4, 10, 1) = 3.05245;
mean_shape(4, 10, 2) = 2.26385;
mean_shape(4, 10, 3) = 0.980785;
mean_shape(4, 11, 1) = 2.90196;
mean_shape(4, 11, 2) = 2.15224;
mean_shape(4, 11, 3) = 0.92388;
mean_shape(4, 12, 1) = 2.76326;
mean_shape(4, 12, 2) = 2.04937;
mean_shape(4, 12, 3) = 0.83147;
mean_shape(4, 13, 1) = 2.64169;
mean_shape(4, 13, 2) = 1.95921;
mean_shape(4, 13, 3) = 0.707107;
mean_shape(4, 14, 1) = 2.54192;
mean_shape(4, 14, 2) = 1.88522;
mean_shape(4, 14, 3) = 0.55557;
mean_shape(4, 15, 1) = 2.46779;
mean_shape(4, 15, 2) = 1.83024;
mean_shape(4, 15, 3) = 0.382683;
mean_shape(4, 16, 1) = 2.42213;
mean_shape(4, 16, 2) = 1.79638;
mean_shape(4, 16, 3) = 0.19509;
mean_shape(4, 17, 1) = 2.40672;
mean_shape(4, 17, 2) = 1.78495;
mean_shape(4, 17, 3) = 1.22465e-016;
mean_shape(4, 18, 1) = 2.42213;
mean_shape(4, 18, 2) = 1.79638;
mean_shape(4, 18, 3) = -0.19509;
mean_shape(4, 19, 1) = 2.46779;
mean_shape(4, 19, 2) = 1.83024;
mean_shape(4, 19, 3) = -0.382683;
mean_shape(4, 20, 1) = 2.54192;
mean_shape(4, 20, 2) = 1.88522;
mean_shape(4, 20, 3) = -0.55557;
mean_shape(4, 21, 1) = 2.64169;
mean_shape(4, 21, 2) = 1.95921;
mean_shape(4, 21, 3) = -0.707107;
mean_shape(4, 22, 1) = 2.76326;
mean_shape(4, 22, 2) = 2.04937;
mean_shape(4, 22, 3) = -0.83147;
mean_shape(4, 23, 1) = 2.90196;
mean_shape(4, 23, 2) = 2.15224;
mean_shape(4, 23, 3) = -0.92388;
mean_shape(4, 24, 1) = 3.05245;
mean_shape(4, 24, 2) = 2.26385;
mean_shape(4, 24, 3) = -0.980785;
mean_shape(4, 25, 1) = 3.20896;
mean_shape(4, 25, 2) = 2.37993;
mean_shape(4, 25, 3) = -1;
mean_shape(4, 26, 1) = 3.36547;
mean_shape(4, 26, 2) = 2.496;
mean_shape(4, 26, 3) = -0.980785;
mean_shape(4, 27, 1) = 3.51596;
mean_shape(4, 27, 2) = 2.60762;
mean_shape(4, 27, 3) = -0.92388;
mean_shape(4, 28, 1) = 3.65466;
mean_shape(4, 28, 2) = 2.71048;
mean_shape(4, 28, 3) = -0.83147;
mean_shape(4, 29, 1) = 3.77623;
mean_shape(4, 29, 2) = 2.80064;
mean_shape(4, 29, 3) = -0.707107;
mean_shape(4, 30, 1) = 3.876;
mean_shape(4, 30, 2) = 2.87464;
mean_shape(4, 30, 3) = -0.55557;
mean_shape(4, 31, 1) = 3.95013;
mean_shape(4, 31, 2) = 2.92962;
mean_shape(4, 31, 3) = -0.382683;
mean_shape(4, 32, 1) = 3.99579;
mean_shape(4, 32, 2) = 2.96348;
mean_shape(4, 32, 3) = -0.19509;
mean_shape(5, 1, 1) = 3.35375;
mean_shape(5, 1, 2) = 3.70029;
mean_shape(5, 1, 3) = 0;
mean_shape(5, 2, 1) = 3.34086;
mean_shape(5, 2, 2) = 3.68607;
mean_shape(5, 2, 3) = 0.19509;
mean_shape(5, 3, 1) = 3.30269;
mean_shape(5, 3, 2) = 3.64396;
mean_shape(5, 3, 3) = 0.382683;
mean_shape(5, 4, 1) = 3.24071;
mean_shape(5, 4, 2) = 3.57557;
mean_shape(5, 4, 3) = 0.55557;
mean_shape(5, 5, 1) = 3.15729;
mean_shape(5, 5, 2) = 3.48353;
mean_shape(5, 5, 3) = 0.707107;
mean_shape(5, 6, 1) = 3.05565;
mean_shape(5, 6, 2) = 3.37139;
mean_shape(5, 6, 3) = 0.83147;
mean_shape(5, 7, 1) = 2.93969;
mean_shape(5, 7, 2) = 3.24344;
mean_shape(5, 7, 3) = 0.92388;
mean_shape(5, 8, 1) = 2.81386;
mean_shape(5, 8, 2) = 3.10461;
mean_shape(5, 8, 3) = 0.980785;
mean_shape(5, 9, 1) = 2.683;
mean_shape(5, 9, 2) = 2.96023;
mean_shape(5, 9, 3) = 1;
mean_shape(5, 10, 1) = 2.55214;
mean_shape(5, 10, 2) = 2.81586;
mean_shape(5, 10, 3) = 0.980785;
mean_shape(5, 11, 1) = 2.42632;
mean_shape(5, 11, 2) = 2.67703;
mean_shape(5, 11, 3) = 0.92388;
mean_shape(5, 12, 1) = 2.31035;
mean_shape(5, 12, 2) = 2.54908;
mean_shape(5, 12, 3) = 0.83147;
mean_shape(5, 13, 1) = 2.20871;
mean_shape(5, 13, 2) = 2.43693;
mean_shape(5, 13, 3) = 0.707107;
mean_shape(5, 14, 1) = 2.12529;
mean_shape(5, 14, 2) = 2.3449;
mean_shape(5, 14, 3) = 0.55557;
mean_shape(5, 15, 1) = 2.06331;
mean_shape(5, 15, 2) = 2.27651;
mean_shape(5, 15, 3) = 0.382683;
mean_shape(5, 16, 1) = 2.02514;
mean_shape(5, 16, 2) = 2.2344;
mean_shape(5, 16, 3) = 0.19509;
mean_shape(5, 17, 1) = 2.01225;
mean_shape(5, 17, 2) = 2.22018;
mean_shape(5, 17, 3) = 1.22465e-016;
mean_shape(5, 18, 1) = 2.02514;
mean_shape(5, 18, 2) = 2.2344;
mean_shape(5, 18, 3) = -0.19509;
mean_shape(5, 19, 1) = 2.06331;
mean_shape(5, 19, 2) = 2.27651;
mean_shape(5, 19, 3) = -0.382683;
mean_shape(5, 20, 1) = 2.12529;
mean_shape(5, 20, 2) = 2.3449;
mean_shape(5, 20, 3) = -0.55557;
mean_shape(5, 21, 1) = 2.20871;
mean_shape(5, 21, 2) = 2.43693;
mean_shape(5, 21, 3) = -0.707107;
mean_shape(5, 22, 1) = 2.31035;
mean_shape(5, 22, 2) = 2.54908;
mean_shape(5, 22, 3) = -0.83147;
mean_shape(5, 23, 1) = 2.42632;
mean_shape(5, 23, 2) = 2.67703;
mean_shape(5, 23, 3) = -0.92388;
mean_shape(5, 24, 1) = 2.55214;
mean_shape(5, 24, 2) = 2.81586;
mean_shape(5, 24, 3) = -0.980785;
mean_shape(5, 25, 1) = 2.683;
mean_shape(5, 25, 2) = 2.96023;
mean_shape(5, 25, 3) = -1;
mean_shape(5, 26, 1) = 2.81386;
mean_shape(5, 26, 2) = 3.10461;
mean_shape(5, 26, 3) = -0.980785;
mean_shape(5, 27, 1) = 2.93969;
mean_shape(5, 27, 2) = 3.24344;
mean_shape(5, 27, 3) = -0.92388;
mean_shape(5, 28, 1) = 3.05565;
mean_shape(5, 28, 2) = 3.37139;
mean_shape(5, 28, 3) = -0.83147;
mean_shape(5, 29, 1) = 3.15729;
mean_shape(5, 29, 2) = 3.48353;
mean_shape(5, 29, 3) = -0.707107;
mean_shape(5, 30, 1) = 3.24071;
mean_shape(5, 30, 2) = 3.57557;
mean_shape(5, 30, 3) = -0.55557;
mean_shape(5, 31, 1) = 3.30269;
mean_shape(5, 31, 2) = 3.64396;
mean_shape(5, 31, 3) = -0.382683;
mean_shape(5, 32, 1) = 3.34086;
mean_shape(5, 32, 2) = 3.68607;
mean_shape(5, 32, 3) = -0.19509;
mean_shape(6, 1, 1) = 2.56742;
mean_shape(6, 1, 2) = 4.28348;
mean_shape(6, 1, 3) = 0;
mean_shape(6, 2, 1) = 2.55755;
mean_shape(6, 2, 2) = 4.26702;
mean_shape(6, 2, 3) = 0.19509;
mean_shape(6, 3, 1) = 2.52833;
mean_shape(6, 3, 2) = 4.21827;
mean_shape(6, 3, 3) = 0.382683;
mean_shape(6, 4, 1) = 2.48088;
mean_shape(6, 4, 2) = 4.1391;
mean_shape(6, 4, 3) = 0.55557;
mean_shape(6, 5, 1) = 2.41702;
mean_shape(6, 5, 2) = 4.03256;
mean_shape(6, 5, 3) = 0.707107;
mean_shape(6, 6, 1) = 2.33921;
mean_shape(6, 6, 2) = 3.90274;
mean_shape(6, 6, 3) = 0.83147;
mean_shape(6, 7, 1) = 2.25044;
mean_shape(6, 7, 2) = 3.75462;
mean_shape(6, 7, 3) = 0.92388;
mean_shape(6, 8, 1) = 2.15411;
mean_shape(6, 8, 2) = 3.59391;
mean_shape(6, 8, 3) = 0.980785;
mean_shape(6, 9, 1) = 2.05393;
mean_shape(6, 9, 2) = 3.42678;
mean_shape(6, 9, 3) = 1;
mean_shape(6, 10, 1) = 1.95376;
mean_shape(6, 10, 2) = 3.25965;
mean_shape(6, 10, 3) = 0.980785;
mean_shape(6, 11, 1) = 1.85743;
mean_shape(6, 11, 2) = 3.09894;
mean_shape(6, 11, 3) = 0.92388;
mean_shape(6, 12, 1) = 1.76866;
mean_shape(6, 12, 2) = 2.95083;
mean_shape(6, 12, 3) = 0.83147;
mean_shape(6, 13, 1) = 1.69085;
mean_shape(6, 13, 2) = 2.82101;
mean_shape(6, 13, 3) = 0.707107;
mean_shape(6, 14, 1) = 1.62699;
mean_shape(6, 14, 2) = 2.71447;
mean_shape(6, 14, 3) = 0.55557;
mean_shape(6, 15, 1) = 1.57954;
mean_shape(6, 15, 2) = 2.6353;
mean_shape(6, 15, 3) = 0.382683;
mean_shape(6, 16, 1) = 1.55032;
mean_shape(6, 16, 2) = 2.58655;
mean_shape(6, 16, 3) = 0.19509;
mean_shape(6, 17, 1) = 1.54045;
mean_shape(6, 17, 2) = 2.57009;
mean_shape(6, 17, 3) = 1.22465e-016;
mean_shape(6, 18, 1) = 1.55032;
mean_shape(6, 18, 2) = 2.58655;
mean_shape(6, 18, 3) = -0.19509;
mean_shape(6, 19, 1) = 1.57954;
mean_shape(6, 19, 2) = 2.6353;
mean_shape(6, 19, 3) = -0.382683;
mean_shape(6, 20, 1) = 1.62699;
mean_shape(6, 20, 2) = 2.71447;
mean_shape(6, 20, 3) = -0.55557;
mean_shape(6, 21, 1) = 1.69085;
mean_shape(6, 21, 2) = 2.82101;
mean_shape(6, 21, 3) = -0.707107;
mean_shape(6, 22, 1) = 1.76866;
mean_shape(6, 22, 2) = 2.95083;
mean_shape(6, 22, 3) = -0.83147;
mean_shape(6, 23, 1) = 1.85743;
mean_shape(6, 23, 2) = 3.09894;
mean_shape(6, 23, 3) = -0.92388;
mean_shape(6, 24, 1) = 1.95376;
mean_shape(6, 24, 2) = 3.25965;
mean_shape(6, 24, 3) = -0.980785;
mean_shape(6, 25, 1) = 2.05393;
mean_shape(6, 25, 2) = 3.42678;
mean_shape(6, 25, 3) = -1;
mean_shape(6, 26, 1) = 2.15411;
mean_shape(6, 26, 2) = 3.59391;
mean_shape(6, 26, 3) = -0.980785;
mean_shape(6, 27, 1) = 2.25044;
mean_shape(6, 27, 2) = 3.75462;
mean_shape(6, 27, 3) = -0.92388;
mean_shape(6, 28, 1) = 2.33921;
mean_shape(6, 28, 2) = 3.90274;
mean_shape(6, 28, 3) = -0.83147;
mean_shape(6, 29, 1) = 2.41702;
mean_shape(6, 29, 2) = 4.03256;
mean_shape(6, 29, 3) = -0.707107;
mean_shape(6, 30, 1) = 2.48088;
mean_shape(6, 30, 2) = 4.1391;
mean_shape(6, 30, 3) = -0.55557;
mean_shape(6, 31, 1) = 2.52833;
mean_shape(6, 31, 2) = 4.21827;
mean_shape(6, 31, 3) = -0.382683;
mean_shape(6, 32, 1) = 2.55755;
mean_shape(6, 32, 2) = 4.26702;
mean_shape(6, 32, 3) = -0.19509;
mean_shape(7, 1, 1) = 1.68242;
mean_shape(7, 1, 2) = 4.70205;
mean_shape(7, 1, 3) = 0;
mean_shape(7, 2, 1) = 1.67595;
mean_shape(7, 2, 2) = 4.68398;
mean_shape(7, 2, 3) = 0.19509;
mean_shape(7, 3, 1) = 1.65681;
mean_shape(7, 3, 2) = 4.63047;
mean_shape(7, 3, 3) = 0.382683;
mean_shape(7, 4, 1) = 1.62571;
mean_shape(7, 4, 2) = 4.54356;
mean_shape(7, 4, 3) = 0.55557;
mean_shape(7, 5, 1) = 1.58387;
mean_shape(7, 5, 2) = 4.42661;
mean_shape(7, 5, 3) = 0.707107;
mean_shape(7, 6, 1) = 1.53288;
mean_shape(7, 6, 2) = 4.2841;
mean_shape(7, 6, 3) = 0.83147;
mean_shape(7, 7, 1) = 1.4747;
mean_shape(7, 7, 2) = 4.12152;
mean_shape(7, 7, 3) = 0.92388;
mean_shape(7, 8, 1) = 1.41158;
mean_shape(7, 8, 2) = 3.9451;
mean_shape(7, 8, 3) = 0.980785;
mean_shape(7, 9, 1) = 1.34594;
mean_shape(7, 9, 2) = 3.76164;
mean_shape(7, 9, 3) = 1;
mean_shape(7, 10, 1) = 1.28029;
mean_shape(7, 10, 2) = 3.57817;
mean_shape(7, 10, 3) = 0.980785;
mean_shape(7, 11, 1) = 1.21717;
mean_shape(7, 11, 2) = 3.40176;
mean_shape(7, 11, 3) = 0.92388;
mean_shape(7, 12, 1) = 1.159;
mean_shape(7, 12, 2) = 3.23918;
mean_shape(7, 12, 3) = 0.83147;
mean_shape(7, 13, 1) = 1.10801;
mean_shape(7, 13, 2) = 3.09667;
mean_shape(7, 13, 3) = 0.707107;
mean_shape(7, 14, 1) = 1.06616;
mean_shape(7, 14, 2) = 2.97972;
mean_shape(7, 14, 3) = 0.55557;
mean_shape(7, 15, 1) = 1.03507;
mean_shape(7, 15, 2) = 2.89281;
mean_shape(7, 15, 3) = 0.382683;
mean_shape(7, 16, 1) = 1.01592;
mean_shape(7, 16, 2) = 2.8393;
mean_shape(7, 16, 3) = 0.19509;
mean_shape(7, 17, 1) = 1.00945;
mean_shape(7, 17, 2) = 2.82123;
mean_shape(7, 17, 3) = 1.22465e-016;
mean_shape(7, 18, 1) = 1.01592;
mean_shape(7, 18, 2) = 2.8393;
mean_shape(7, 18, 3) = -0.19509;
mean_shape(7, 19, 1) = 1.03507;
mean_shape(7, 19, 2) = 2.89281;
mean_shape(7, 19, 3) = -0.382683;
mean_shape(7, 20, 1) = 1.06616;
mean_shape(7, 20, 2) = 2.97972;
mean_shape(7, 20, 3) = -0.55557;
mean_shape(7, 21, 1) = 1.10801;
mean_shape(7, 21, 2) = 3.09667;
mean_shape(7, 21, 3) = -0.707107;
mean_shape(7, 22, 1) = 1.159;
mean_shape(7, 22, 2) = 3.23918;
mean_shape(7, 22, 3) = -0.83147;
mean_shape(7, 23, 1) = 1.21717;
mean_shape(7, 23, 2) = 3.40176;
mean_shape(7, 23, 3) = -0.92388;
mean_shape(7, 24, 1) = 1.28029;
mean_shape(7, 24, 2) = 3.57817;
mean_shape(7, 24, 3) = -0.980785;
mean_shape(7, 25, 1) = 1.34594;
mean_shape(7, 25, 2) = 3.76164;
mean_shape(7, 25, 3) = -1;
mean_shape(7, 26, 1) = 1.41158;
mean_shape(7, 26, 2) = 3.9451;
mean_shape(7, 26, 3) = -0.980785;
mean_shape(7, 27, 1) = 1.4747;
mean_shape(7, 27, 2) = 4.12152;
mean_shape(7, 27, 3) = -0.92388;
mean_shape(7, 28, 1) = 1.53288;
mean_shape(7, 28, 2) = 4.2841;
mean_shape(7, 28, 3) = -0.83147;
mean_shape(7, 29, 1) = 1.58387;
mean_shape(7, 29, 2) = 4.42661;
mean_shape(7, 29, 3) = -0.707107;
mean_shape(7, 30, 1) = 1.62571;
mean_shape(7, 30, 2) = 4.54356;
mean_shape(7, 30, 3) = -0.55557;
mean_shape(7, 31, 1) = 1.65681;
mean_shape(7, 31, 2) = 4.63047;
mean_shape(7, 31, 3) = -0.382683;
mean_shape(7, 32, 1) = 1.67595;
mean_shape(7, 32, 2) = 4.68398;
mean_shape(7, 32, 3) = -0.19509;
mean_shape(8, 1, 1) = 0.732769;
mean_shape(8, 1, 2) = 4.93993;
mean_shape(8, 1, 3) = 0;
mean_shape(8, 2, 1) = 0.729953;
mean_shape(8, 2, 2) = 4.92094;
mean_shape(8, 2, 3) = 0.19509;
mean_shape(8, 3, 1) = 0.721613;
mean_shape(8, 3, 2) = 4.86472;
mean_shape(8, 3, 3) = 0.382683;
mean_shape(8, 4, 1) = 0.70807;
mean_shape(8, 4, 2) = 4.77342;
mean_shape(8, 4, 3) = 0.55557;
mean_shape(8, 5, 1) = 0.689844;
mean_shape(8, 5, 2) = 4.65055;
mean_shape(8, 5, 3) = 0.707107;
mean_shape(8, 6, 1) = 0.667636;
mean_shape(8, 6, 2) = 4.50084;
mean_shape(8, 6, 3) = 0.83147;
mean_shape(8, 7, 1) = 0.642299;
mean_shape(8, 7, 2) = 4.33003;
mean_shape(8, 7, 3) = 0.92388;
mean_shape(8, 8, 1) = 0.614806;
mean_shape(8, 8, 2) = 4.14469;
mean_shape(8, 8, 3) = 0.980785;
mean_shape(8, 9, 1) = 0.586215;
mean_shape(8, 9, 2) = 3.95194;
mean_shape(8, 9, 3) = 1;
mean_shape(8, 10, 1) = 0.557624;
mean_shape(8, 10, 2) = 3.75919;
mean_shape(8, 10, 3) = 0.980785;
mean_shape(8, 11, 1) = 0.530131;
mean_shape(8, 11, 2) = 3.57385;
mean_shape(8, 11, 3) = 0.92388;
mean_shape(8, 12, 1) = 0.504794;
mean_shape(8, 12, 2) = 3.40304;
mean_shape(8, 12, 3) = 0.83147;
mean_shape(8, 13, 1) = 0.482586;
mean_shape(8, 13, 2) = 3.25333;
mean_shape(8, 13, 3) = 0.707107;
mean_shape(8, 14, 1) = 0.46436;
mean_shape(8, 14, 2) = 3.13046;
mean_shape(8, 14, 3) = 0.55557;
mean_shape(8, 15, 1) = 0.450817;
mean_shape(8, 15, 2) = 3.03916;
mean_shape(8, 15, 3) = 0.382683;
mean_shape(8, 16, 1) = 0.442477;
mean_shape(8, 16, 2) = 2.98294;
mean_shape(8, 16, 3) = 0.19509;
mean_shape(8, 17, 1) = 0.439661;
mean_shape(8, 17, 2) = 2.96396;
mean_shape(8, 17, 3) = 1.22465e-016;
mean_shape(8, 18, 1) = 0.442477;
mean_shape(8, 18, 2) = 2.98294;
mean_shape(8, 18, 3) = -0.19509;
mean_shape(8, 19, 1) = 0.450817;
mean_shape(8, 19, 2) = 3.03916;
mean_shape(8, 19, 3) = -0.382683;
mean_shape(8, 20, 1) = 0.46436;
mean_shape(8, 20, 2) = 3.13046;
mean_shape(8, 20, 3) = -0.55557;
mean_shape(8, 21, 1) = 0.482586;
mean_shape(8, 21, 2) = 3.25333;
mean_shape(8, 21, 3) = -0.707107;
mean_shape(8, 22, 1) = 0.504794;
mean_shape(8, 22, 2) = 3.40304;
mean_shape(8, 22, 3) = -0.83147;
mean_shape(8, 23, 1) = 0.530131;
mean_shape(8, 23, 2) = 3.57385;
mean_shape(8, 23, 3) = -0.92388;
mean_shape(8, 24, 1) = 0.557624;
mean_shape(8, 24, 2) = 3.75919;
mean_shape(8, 24, 3) = -0.980785;
mean_shape(8, 25, 1) = 0.586215;
mean_shape(8, 25, 2) = 3.95194;
mean_shape(8, 25, 3) = -1;
mean_shape(8, 26, 1) = 0.614806;
mean_shape(8, 26, 2) = 4.14469;
mean_shape(8, 26, 3) = -0.980785;
mean_shape(8, 27, 1) = 0.642299;
mean_shape(8, 27, 2) = 4.33003;
mean_shape(8, 27, 3) = -0.92388;
mean_shape(8, 28, 1) = 0.667636;
mean_shape(8, 28, 2) = 4.50084;
mean_shape(8, 28, 3) = -0.83147;
mean_shape(8, 29, 1) = 0.689844;
mean_shape(8, 29, 2) = 4.65055;
mean_shape(8, 29, 3) = -0.707107;
mean_shape(8, 30, 1) = 0.70807;
mean_shape(8, 30, 2) = 4.77342;
mean_shape(8, 30, 3) = -0.55557;
mean_shape(8, 31, 1) = 0.721613;
mean_shape(8, 31, 2) = 4.86472;
mean_shape(8, 31, 3) = -0.382683;
mean_shape(8, 32, 1) = 0.729953;
mean_shape(8, 32, 2) = 4.92094;
mean_shape(8, 32, 3) = -0.19509;
mean_shape(9, 1, 1) = -0.245043;
mean_shape(9, 1, 2) = 4.98796;
mean_shape(9, 1, 3) = 0;
mean_shape(9, 2, 1) = -0.244101;
mean_shape(9, 2, 2) = 4.96879;
mean_shape(9, 2, 3) = 0.19509;
mean_shape(9, 3, 1) = -0.241312;
mean_shape(9, 3, 2) = 4.91202;
mean_shape(9, 3, 3) = 0.382683;
mean_shape(9, 4, 1) = -0.236783;
mean_shape(9, 4, 2) = 4.81984;
mean_shape(9, 4, 3) = 0.55557;
mean_shape(9, 5, 1) = -0.230689;
mean_shape(9, 5, 2) = 4.69577;
mean_shape(9, 5, 3) = 0.707107;
mean_shape(9, 6, 1) = -0.223262;
mean_shape(9, 6, 2) = 4.5446;
mean_shape(9, 6, 3) = 0.83147;
mean_shape(9, 7, 1) = -0.214789;
mean_shape(9, 7, 2) = 4.37213;
mean_shape(9, 7, 3) = 0.92388;
mean_shape(9, 8, 1) = -0.205595;
mean_shape(9, 8, 2) = 4.18499;
mean_shape(9, 8, 3) = 0.980785;
mean_shape(9, 9, 1) = -0.196034;
mean_shape(9, 9, 2) = 3.99037;
mean_shape(9, 9, 3) = 1;
mean_shape(9, 10, 1) = -0.186473;
mean_shape(9, 10, 2) = 3.79575;
mean_shape(9, 10, 3) = 0.980785;
mean_shape(9, 11, 1) = -0.17728;
mean_shape(9, 11, 2) = 3.60861;
mean_shape(9, 11, 3) = 0.92388;
mean_shape(9, 12, 1) = -0.168807;
mean_shape(9, 12, 2) = 3.43614;
mean_shape(9, 12, 3) = 0.83147;
mean_shape(9, 13, 1) = -0.16138;
mean_shape(9, 13, 2) = 3.28497;
mean_shape(9, 13, 3) = 0.707107;
mean_shape(9, 14, 1) = -0.155285;
mean_shape(9, 14, 2) = 3.1609;
mean_shape(9, 14, 3) = 0.55557;
mean_shape(9, 15, 1) = -0.150756;
mean_shape(9, 15, 2) = 3.06871;
mean_shape(9, 15, 3) = 0.382683;
mean_shape(9, 16, 1) = -0.147967;
mean_shape(9, 16, 2) = 3.01195;
mean_shape(9, 16, 3) = 0.19509;
mean_shape(9, 17, 1) = -0.147026;
mean_shape(9, 17, 2) = 2.99278;
mean_shape(9, 17, 3) = 1.22465e-016;
mean_shape(9, 18, 1) = -0.147967;
mean_shape(9, 18, 2) = 3.01195;
mean_shape(9, 18, 3) = -0.19509;
mean_shape(9, 19, 1) = -0.150756;
mean_shape(9, 19, 2) = 3.06871;
mean_shape(9, 19, 3) = -0.382683;
mean_shape(9, 20, 1) = -0.155285;
mean_shape(9, 20, 2) = 3.1609;
mean_shape(9, 20, 3) = -0.55557;
mean_shape(9, 21, 1) = -0.16138;
mean_shape(9, 21, 2) = 3.28497;
mean_shape(9, 21, 3) = -0.707107;
mean_shape(9, 22, 1) = -0.168807;
mean_shape(9, 22, 2) = 3.43614;
mean_shape(9, 22, 3) = -0.83147;
mean_shape(9, 23, 1) = -0.17728;
mean_shape(9, 23, 2) = 3.60861;
mean_shape(9, 23, 3) = -0.92388;
mean_shape(9, 24, 1) = -0.186473;
mean_shape(9, 24, 2) = 3.79575;
mean_shape(9, 24, 3) = -0.980785;
mean_shape(9, 25, 1) = -0.196034;
mean_shape(9, 25, 2) = 3.99037;
mean_shape(9, 25, 3) = -1;
mean_shape(9, 26, 1) = -0.205595;
mean_shape(9, 26, 2) = 4.18499;
mean_shape(9, 26, 3) = -0.980785;
mean_shape(9, 27, 1) = -0.214789;
mean_shape(9, 27, 2) = 4.37213;
mean_shape(9, 27, 3) = -0.92388;
mean_shape(9, 28, 1) = -0.223262;
mean_shape(9, 28, 2) = 4.5446;
mean_shape(9, 28, 3) = -0.83147;
mean_shape(9, 29, 1) = -0.230689;
mean_shape(9, 29, 2) = 4.69577;
mean_shape(9, 29, 3) = -0.707107;
mean_shape(9, 30, 1) = -0.236783;
mean_shape(9, 30, 2) = 4.81984;
mean_shape(9, 30, 3) = -0.55557;
mean_shape(9, 31, 1) = -0.241312;
mean_shape(9, 31, 2) = 4.91202;
mean_shape(9, 31, 3) = -0.382683;
mean_shape(9, 32, 1) = -0.244101;
mean_shape(9, 32, 2) = 4.96879;
mean_shape(9, 32, 3) = -0.19509;
mean_shape(10, 1, 1) = -1.21344;
mean_shape(10, 1, 2) = 4.84431;
mean_shape(10, 1, 3) = 0;
mean_shape(10, 2, 1) = -1.20877;
mean_shape(10, 2, 2) = 4.8257;
mean_shape(10, 2, 3) = 0.19509;
mean_shape(10, 3, 1) = -1.19496;
mean_shape(10, 3, 2) = 4.77056;
mean_shape(10, 3, 3) = 0.382683;
mean_shape(10, 4, 1) = -1.17254;
mean_shape(10, 4, 2) = 4.68103;
mean_shape(10, 4, 3) = 0.55557;
mean_shape(10, 5, 1) = -1.14236;
mean_shape(10, 5, 2) = 4.56054;
mean_shape(10, 5, 3) = 0.707107;
mean_shape(10, 6, 1) = -1.10558;
mean_shape(10, 6, 2) = 4.41372;
mean_shape(10, 6, 3) = 0.83147;
mean_shape(10, 7, 1) = -1.06362;
mean_shape(10, 7, 2) = 4.24622;
mean_shape(10, 7, 3) = 0.92388;
mean_shape(10, 8, 1) = -1.0181;
mean_shape(10, 8, 2) = 4.06447;
mean_shape(10, 8, 3) = 0.980785;
mean_shape(10, 9, 1) = -0.97075;
mean_shape(10, 9, 2) = 3.87545;
mean_shape(10, 9, 3) = 1;
mean_shape(10, 10, 1) = -0.923404;
mean_shape(10, 10, 2) = 3.68644;
mean_shape(10, 10, 3) = 0.980785;
mean_shape(10, 11, 1) = -0.877878;
mean_shape(10, 11, 2) = 3.50468;
mean_shape(10, 11, 3) = 0.92388;
mean_shape(10, 12, 1) = -0.83592;
mean_shape(10, 12, 2) = 3.33718;
mean_shape(10, 12, 3) = 0.83147;
mean_shape(10, 13, 1) = -0.799144;
mean_shape(10, 13, 2) = 3.19036;
mean_shape(10, 13, 3) = 0.707107;
mean_shape(10, 14, 1) = -0.768963;
mean_shape(10, 14, 2) = 3.06987;
mean_shape(10, 14, 3) = 0.55557;
mean_shape(10, 15, 1) = -0.746536;
mean_shape(10, 15, 2) = 2.98034;
mean_shape(10, 15, 3) = 0.382683;
mean_shape(10, 16, 1) = -0.732726;
mean_shape(10, 16, 2) = 2.9252;
mean_shape(10, 16, 3) = 0.19509;
mean_shape(10, 17, 1) = -0.728062;
mean_shape(10, 17, 2) = 2.90659;
mean_shape(10, 17, 3) = 1.22465e-016;
mean_shape(10, 18, 1) = -0.732726;
mean_shape(10, 18, 2) = 2.9252;
mean_shape(10, 18, 3) = -0.19509;
mean_shape(10, 19, 1) = -0.746536;
mean_shape(10, 19, 2) = 2.98034;
mean_shape(10, 19, 3) = -0.382683;
mean_shape(10, 20, 1) = -0.768963;
mean_shape(10, 20, 2) = 3.06987;
mean_shape(10, 20, 3) = -0.55557;
mean_shape(10, 21, 1) = -0.799144;
mean_shape(10, 21, 2) = 3.19036;
mean_shape(10, 21, 3) = -0.707107;
mean_shape(10, 22, 1) = -0.83592;
mean_shape(10, 22, 2) = 3.33718;
mean_shape(10, 22, 3) = -0.83147;
mean_shape(10, 23, 1) = -0.877878;
mean_shape(10, 23, 2) = 3.50468;
mean_shape(10, 23, 3) = -0.92388;
mean_shape(10, 24, 1) = -0.923404;
mean_shape(10, 24, 2) = 3.68644;
mean_shape(10, 24, 3) = -0.980785;
mean_shape(10, 25, 1) = -0.97075;
mean_shape(10, 25, 2) = 3.87545;
mean_shape(10, 25, 3) = -1;
mean_shape(10, 26, 1) = -1.0181;
mean_shape(10, 26, 2) = 4.06447;
mean_shape(10, 26, 3) = -0.980785;
mean_shape(10, 27, 1) = -1.06362;
mean_shape(10, 27, 2) = 4.24622;
mean_shape(10, 27, 3) = -0.92388;
mean_shape(10, 28, 1) = -1.10558;
mean_shape(10, 28, 2) = 4.41372;
mean_shape(10, 28, 3) = -0.83147;
mean_shape(10, 29, 1) = -1.14236;
mean_shape(10, 29, 2) = 4.56054;
mean_shape(10, 29, 3) = -0.707107;
mean_shape(10, 30, 1) = -1.17254;
mean_shape(10, 30, 2) = 4.68103;
mean_shape(10, 30, 3) = -0.55557;
mean_shape(10, 31, 1) = -1.19496;
mean_shape(10, 31, 2) = 4.77056;
mean_shape(10, 31, 3) = -0.382683;
mean_shape(10, 32, 1) = -1.20877;
mean_shape(10, 32, 2) = 4.8257;
mean_shape(10, 32, 3) = -0.19509;
mean_shape(11, 1, 1) = -2.1352;
mean_shape(11, 1, 2) = 4.5145;
mean_shape(11, 1, 3) = 0;
mean_shape(11, 2, 1) = -2.12699;
mean_shape(11, 2, 2) = 4.49715;
mean_shape(11, 2, 3) = 0.19509;
mean_shape(11, 3, 1) = -2.10269;
mean_shape(11, 3, 2) = 4.44577;
mean_shape(11, 3, 3) = 0.382683;
mean_shape(11, 4, 1) = -2.06323;
mean_shape(11, 4, 2) = 4.36234;
mean_shape(11, 4, 3) = 0.55557;
mean_shape(11, 5, 1) = -2.01012;
mean_shape(11, 5, 2) = 4.25005;
mean_shape(11, 5, 3) = 0.707107;
mean_shape(11, 6, 1) = -1.94541;
mean_shape(11, 6, 2) = 4.11323;
mean_shape(11, 6, 3) = 0.83147;
mean_shape(11, 7, 1) = -1.87158;
mean_shape(11, 7, 2) = 3.95713;
mean_shape(11, 7, 3) = 0.92388;
mean_shape(11, 8, 1) = -1.79147;
mean_shape(11, 8, 2) = 3.78775;
mean_shape(11, 8, 3) = 0.980785;
mean_shape(11, 9, 1) = -1.70816;
mean_shape(11, 9, 2) = 3.6116;
mean_shape(11, 9, 3) = 1;
mean_shape(11, 10, 1) = -1.62485;
mean_shape(11, 10, 2) = 3.43545;
mean_shape(11, 10, 3) = 0.980785;
mean_shape(11, 11, 1) = -1.54474;
mean_shape(11, 11, 2) = 3.26608;
mean_shape(11, 11, 3) = 0.92388;
mean_shape(11, 12, 1) = -1.47091;
mean_shape(11, 12, 2) = 3.10998;
mean_shape(11, 12, 3) = 0.83147;
mean_shape(11, 13, 1) = -1.4062;
mean_shape(11, 13, 2) = 2.97315;
mean_shape(11, 13, 3) = 0.707107;
mean_shape(11, 14, 1) = -1.35309;
mean_shape(11, 14, 2) = 2.86087;
mean_shape(11, 14, 3) = 0.55557;
mean_shape(11, 15, 1) = -1.31363;
mean_shape(11, 15, 2) = 2.77743;
mean_shape(11, 15, 3) = 0.382683;
mean_shape(11, 16, 1) = -1.28933;
mean_shape(11, 16, 2) = 2.72605;
mean_shape(11, 16, 3) = 0.19509;
mean_shape(11, 17, 1) = -1.28112;
mean_shape(11, 17, 2) = 2.7087;
mean_shape(11, 17, 3) = 1.22465e-016;
mean_shape(11, 18, 1) = -1.28933;
mean_shape(11, 18, 2) = 2.72605;
mean_shape(11, 18, 3) = -0.19509;
mean_shape(11, 19, 1) = -1.31363;
mean_shape(11, 19, 2) = 2.77743;
mean_shape(11, 19, 3) = -0.382683;
mean_shape(11, 20, 1) = -1.35309;
mean_shape(11, 20, 2) = 2.86087;
mean_shape(11, 20, 3) = -0.55557;
mean_shape(11, 21, 1) = -1.4062;
mean_shape(11, 21, 2) = 2.97315;
mean_shape(11, 21, 3) = -0.707107;
mean_shape(11, 22, 1) = -1.47091;
mean_shape(11, 22, 2) = 3.10998;
mean_shape(11, 22, 3) = -0.83147;
mean_shape(11, 23, 1) = -1.54474;
mean_shape(11, 23, 2) = 3.26608;
mean_shape(11, 23, 3) = -0.92388;
mean_shape(11, 24, 1) = -1.62485;
mean_shape(11, 24, 2) = 3.43545;
mean_shape(11, 24, 3) = -0.980785;
mean_shape(11, 25, 1) = -1.70816;
mean_shape(11, 25, 2) = 3.6116;
mean_shape(11, 25, 3) = -1;
mean_shape(11, 26, 1) = -1.79147;
mean_shape(11, 26, 2) = 3.78775;
mean_shape(11, 26, 3) = -0.980785;
mean_shape(11, 27, 1) = -1.87158;
mean_shape(11, 27, 2) = 3.95713;
mean_shape(11, 27, 3) = -0.92388;
mean_shape(11, 28, 1) = -1.94541;
mean_shape(11, 28, 2) = 4.11323;
mean_shape(11, 28, 3) = -0.83147;
mean_shape(11, 29, 1) = -2.01012;
mean_shape(11, 29, 2) = 4.25005;
mean_shape(11, 29, 3) = -0.707107;
mean_shape(11, 30, 1) = -2.06323;
mean_shape(11, 30, 2) = 4.36234;
mean_shape(11, 30, 3) = -0.55557;
mean_shape(11, 31, 1) = -2.10269;
mean_shape(11, 31, 2) = 4.44577;
mean_shape(11, 31, 3) = -0.382683;
mean_shape(11, 32, 1) = -2.12699;
mean_shape(11, 32, 2) = 4.49715;
mean_shape(11, 32, 3) = -0.19509;
mean_shape(12, 1, 1) = -2.97491;
mean_shape(12, 1, 2) = 4.0112;
mean_shape(12, 1, 3) = 0;
mean_shape(12, 2, 1) = -2.96348;
mean_shape(12, 2, 2) = 3.99579;
mean_shape(12, 2, 3) = 0.19509;
mean_shape(12, 3, 1) = -2.92962;
mean_shape(12, 3, 2) = 3.95013;
mean_shape(12, 3, 3) = 0.382683;
mean_shape(12, 4, 1) = -2.87464;
mean_shape(12, 4, 2) = 3.876;
mean_shape(12, 4, 3) = 0.55557;
mean_shape(12, 5, 1) = -2.80064;
mean_shape(12, 5, 2) = 3.77623;
mean_shape(12, 5, 3) = 0.707107;
mean_shape(12, 6, 1) = -2.71048;
mean_shape(12, 6, 2) = 3.65466;
mean_shape(12, 6, 3) = 0.83147;
mean_shape(12, 7, 1) = -2.60762;
mean_shape(12, 7, 2) = 3.51596;
mean_shape(12, 7, 3) = 0.92388;
mean_shape(12, 8, 1) = -2.496;
mean_shape(12, 8, 2) = 3.36547;
mean_shape(12, 8, 3) = 0.980785;
mean_shape(12, 9, 1) = -2.37993;
mean_shape(12, 9, 2) = 3.20896;
mean_shape(12, 9, 3) = 1;
mean_shape(12, 10, 1) = -2.26385;
mean_shape(12, 10, 2) = 3.05245;
mean_shape(12, 10, 3) = 0.980785;
mean_shape(12, 11, 1) = -2.15224;
mean_shape(12, 11, 2) = 2.90196;
mean_shape(12, 11, 3) = 0.92388;
mean_shape(12, 12, 1) = -2.04937;
mean_shape(12, 12, 2) = 2.76326;
mean_shape(12, 12, 3) = 0.83147;
mean_shape(12, 13, 1) = -1.95921;
mean_shape(12, 13, 2) = 2.64169;
mean_shape(12, 13, 3) = 0.707107;
mean_shape(12, 14, 1) = -1.88522;
mean_shape(12, 14, 2) = 2.54192;
mean_shape(12, 14, 3) = 0.55557;
mean_shape(12, 15, 1) = -1.83024;
mean_shape(12, 15, 2) = 2.46779;
mean_shape(12, 15, 3) = 0.382683;
mean_shape(12, 16, 1) = -1.79638;
mean_shape(12, 16, 2) = 2.42213;
mean_shape(12, 16, 3) = 0.19509;
mean_shape(12, 17, 1) = -1.78495;
mean_shape(12, 17, 2) = 2.40672;
mean_shape(12, 17, 3) = 1.22465e-016;
mean_shape(12, 18, 1) = -1.79638;
mean_shape(12, 18, 2) = 2.42213;
mean_shape(12, 18, 3) = -0.19509;
mean_shape(12, 19, 1) = -1.83024;
mean_shape(12, 19, 2) = 2.46779;
mean_shape(12, 19, 3) = -0.382683;
mean_shape(12, 20, 1) = -1.88522;
mean_shape(12, 20, 2) = 2.54192;
mean_shape(12, 20, 3) = -0.55557;
mean_shape(12, 21, 1) = -1.95921;
mean_shape(12, 21, 2) = 2.64169;
mean_shape(12, 21, 3) = -0.707107;
mean_shape(12, 22, 1) = -2.04937;
mean_shape(12, 22, 2) = 2.76326;
mean_shape(12, 22, 3) = -0.83147;
mean_shape(12, 23, 1) = -2.15224;
mean_shape(12, 23, 2) = 2.90196;
mean_shape(12, 23, 3) = -0.92388;
mean_shape(12, 24, 1) = -2.26385;
mean_shape(12, 24, 2) = 3.05245;
mean_shape(12, 24, 3) = -0.980785;
mean_shape(12, 25, 1) = -2.37993;
mean_shape(12, 25, 2) = 3.20896;
mean_shape(12, 25, 3) = -1;
mean_shape(12, 26, 1) = -2.496;
mean_shape(12, 26, 2) = 3.36547;
mean_shape(12, 26, 3) = -0.980785;
mean_shape(12, 27, 1) = -2.60762;
mean_shape(12, 27, 2) = 3.51596;
mean_shape(12, 27, 3) = -0.92388;
mean_shape(12, 28, 1) = -2.71048;
mean_shape(12, 28, 2) = 3.65466;
mean_shape(12, 28, 3) = -0.83147;
mean_shape(12, 29, 1) = -2.80064;
mean_shape(12, 29, 2) = 3.77623;
mean_shape(12, 29, 3) = -0.707107;
mean_shape(12, 30, 1) = -2.87464;
mean_shape(12, 30, 2) = 3.876;
mean_shape(12, 30, 3) = -0.55557;
mean_shape(12, 31, 1) = -2.92962;
mean_shape(12, 31, 2) = 3.95013;
mean_shape(12, 31, 3) = -0.382683;
mean_shape(12, 32, 1) = -2.96348;
mean_shape(12, 32, 2) = 3.99579;
mean_shape(12, 32, 3) = -0.19509;
mean_shape(13, 1, 1) = -3.70029;
mean_shape(13, 1, 2) = 3.35375;
mean_shape(13, 1, 3) = 0;
mean_shape(13, 2, 1) = -3.68607;
mean_shape(13, 2, 2) = 3.34086;
mean_shape(13, 2, 3) = 0.19509;
mean_shape(13, 3, 1) = -3.64396;
mean_shape(13, 3, 2) = 3.30269;
mean_shape(13, 3, 3) = 0.382683;
mean_shape(13, 4, 1) = -3.57557;
mean_shape(13, 4, 2) = 3.24071;
mean_shape(13, 4, 3) = 0.55557;
mean_shape(13, 5, 1) = -3.48353;
mean_shape(13, 5, 2) = 3.15729;
mean_shape(13, 5, 3) = 0.707107;
mean_shape(13, 6, 1) = -3.37139;
mean_shape(13, 6, 2) = 3.05565;
mean_shape(13, 6, 3) = 0.83147;
mean_shape(13, 7, 1) = -3.24344;
mean_shape(13, 7, 2) = 2.93969;
mean_shape(13, 7, 3) = 0.92388;
mean_shape(13, 8, 1) = -3.10461;
mean_shape(13, 8, 2) = 2.81386;
mean_shape(13, 8, 3) = 0.980785;
mean_shape(13, 9, 1) = -2.96023;
mean_shape(13, 9, 2) = 2.683;
mean_shape(13, 9, 3) = 1;
mean_shape(13, 10, 1) = -2.81586;
mean_shape(13, 10, 2) = 2.55214;
mean_shape(13, 10, 3) = 0.980785;
mean_shape(13, 11, 1) = -2.67703;
mean_shape(13, 11, 2) = 2.42632;
mean_shape(13, 11, 3) = 0.92388;
mean_shape(13, 12, 1) = -2.54908;
mean_shape(13, 12, 2) = 2.31035;
mean_shape(13, 12, 3) = 0.83147;
mean_shape(13, 13, 1) = -2.43693;
mean_shape(13, 13, 2) = 2.20871;
mean_shape(13, 13, 3) = 0.707107;
mean_shape(13, 14, 1) = -2.3449;
mean_shape(13, 14, 2) = 2.12529;
mean_shape(13, 14, 3) = 0.55557;
mean_shape(13, 15, 1) = -2.27651;
mean_shape(13, 15, 2) = 2.06331;
mean_shape(13, 15, 3) = 0.382683;
mean_shape(13, 16, 1) = -2.2344;
mean_shape(13, 16, 2) = 2.02514;
mean_shape(13, 16, 3) = 0.19509;
mean_shape(13, 17, 1) = -2.22018;
mean_shape(13, 17, 2) = 2.01225;
mean_shape(13, 17, 3) = 1.22465e-016;
mean_shape(13, 18, 1) = -2.2344;
mean_shape(13, 18, 2) = 2.02514;
mean_shape(13, 18, 3) = -0.19509;
mean_shape(13, 19, 1) = -2.27651;
mean_shape(13, 19, 2) = 2.06331;
mean_shape(13, 19, 3) = -0.382683;
mean_shape(13, 20, 1) = -2.3449;
mean_shape(13, 20, 2) = 2.12529;
mean_shape(13, 20, 3) = -0.55557;
mean_shape(13, 21, 1) = -2.43693;
mean_shape(13, 21, 2) = 2.20871;
mean_shape(13, 21, 3) = -0.707107;
mean_shape(13, 22, 1) = -2.54908;
mean_shape(13, 22, 2) = 2.31035;
mean_shape(13, 22, 3) = -0.83147;
mean_shape(13, 23, 1) = -2.67703;
mean_shape(13, 23, 2) = 2.42632;
mean_shape(13, 23, 3) = -0.92388;
mean_shape(13, 24, 1) = -2.81586;
mean_shape(13, 24, 2) = 2.55214;
mean_shape(13, 24, 3) = -0.980785;
mean_shape(13, 25, 1) = -2.96023;
mean_shape(13, 25, 2) = 2.683;
mean_shape(13, 25, 3) = -1;
mean_shape(13, 26, 1) = -3.10461;
mean_shape(13, 26, 2) = 2.81386;
mean_shape(13, 26, 3) = -0.980785;
mean_shape(13, 27, 1) = -3.24344;
mean_shape(13, 27, 2) = 2.93969;
mean_shape(13, 27, 3) = -0.92388;
mean_shape(13, 28, 1) = -3.37139;
mean_shape(13, 28, 2) = 3.05565;
mean_shape(13, 28, 3) = -0.83147;
mean_shape(13, 29, 1) = -3.48353;
mean_shape(13, 29, 2) = 3.15729;
mean_shape(13, 29, 3) = -0.707107;
mean_shape(13, 30, 1) = -3.57557;
mean_shape(13, 30, 2) = 3.24071;
mean_shape(13, 30, 3) = -0.55557;
mean_shape(13, 31, 1) = -3.64396;
mean_shape(13, 31, 2) = 3.30269;
mean_shape(13, 31, 3) = -0.382683;
mean_shape(13, 32, 1) = -3.68607;
mean_shape(13, 32, 2) = 3.34086;
mean_shape(13, 32, 3) = -0.19509;
mean_shape(14, 1, 1) = -4.28348;
mean_shape(14, 1, 2) = 2.56742;
mean_shape(14, 1, 3) = 0;
mean_shape(14, 2, 1) = -4.26702;
mean_shape(14, 2, 2) = 2.55755;
mean_shape(14, 2, 3) = 0.19509;
mean_shape(14, 3, 1) = -4.21827;
mean_shape(14, 3, 2) = 2.52833;
mean_shape(14, 3, 3) = 0.382683;
mean_shape(14, 4, 1) = -4.1391;
mean_shape(14, 4, 2) = 2.48088;
mean_shape(14, 4, 3) = 0.55557;
mean_shape(14, 5, 1) = -4.03256;
mean_shape(14, 5, 2) = 2.41702;
mean_shape(14, 5, 3) = 0.707107;
mean_shape(14, 6, 1) = -3.90274;
mean_shape(14, 6, 2) = 2.33921;
mean_shape(14, 6, 3) = 0.83147;
mean_shape(14, 7, 1) = -3.75462;
mean_shape(14, 7, 2) = 2.25044;
mean_shape(14, 7, 3) = 0.92388;
mean_shape(14, 8, 1) = -3.59391;
mean_shape(14, 8, 2) = 2.15411;
mean_shape(14, 8, 3) = 0.980785;
mean_shape(14, 9, 1) = -3.42678;
mean_shape(14, 9, 2) = 2.05393;
mean_shape(14, 9, 3) = 1;
mean_shape(14, 10, 1) = -3.25965;
mean_shape(14, 10, 2) = 1.95376;
mean_shape(14, 10, 3) = 0.980785;
mean_shape(14, 11, 1) = -3.09894;
mean_shape(14, 11, 2) = 1.85743;
mean_shape(14, 11, 3) = 0.92388;
mean_shape(14, 12, 1) = -2.95083;
mean_shape(14, 12, 2) = 1.76866;
mean_shape(14, 12, 3) = 0.83147;
mean_shape(14, 13, 1) = -2.82101;
mean_shape(14, 13, 2) = 1.69085;
mean_shape(14, 13, 3) = 0.707107;
mean_shape(14, 14, 1) = -2.71447;
mean_shape(14, 14, 2) = 1.62699;
mean_shape(14, 14, 3) = 0.55557;
mean_shape(14, 15, 1) = -2.6353;
mean_shape(14, 15, 2) = 1.57954;
mean_shape(14, 15, 3) = 0.382683;
mean_shape(14, 16, 1) = -2.58655;
mean_shape(14, 16, 2) = 1.55032;
mean_shape(14, 16, 3) = 0.19509;
mean_shape(14, 17, 1) = -2.57009;
mean_shape(14, 17, 2) = 1.54045;
mean_shape(14, 17, 3) = 1.22465e-016;
mean_shape(14, 18, 1) = -2.58655;
mean_shape(14, 18, 2) = 1.55032;
mean_shape(14, 18, 3) = -0.19509;
mean_shape(14, 19, 1) = -2.6353;
mean_shape(14, 19, 2) = 1.57954;
mean_shape(14, 19, 3) = -0.382683;
mean_shape(14, 20, 1) = -2.71447;
mean_shape(14, 20, 2) = 1.62699;
mean_shape(14, 20, 3) = -0.55557;
mean_shape(14, 21, 1) = -2.82101;
mean_shape(14, 21, 2) = 1.69085;
mean_shape(14, 21, 3) = -0.707107;
mean_shape(14, 22, 1) = -2.95083;
mean_shape(14, 22, 2) = 1.76866;
mean_shape(14, 22, 3) = -0.83147;
mean_shape(14, 23, 1) = -3.09894;
mean_shape(14, 23, 2) = 1.85743;
mean_shape(14, 23, 3) = -0.92388;
mean_shape(14, 24, 1) = -3.25965;
mean_shape(14, 24, 2) = 1.95376;
mean_shape(14, 24, 3) = -0.980785;
mean_shape(14, 25, 1) = -3.42678;
mean_shape(14, 25, 2) = 2.05393;
mean_shape(14, 25, 3) = -1;
mean_shape(14, 26, 1) = -3.59391;
mean_shape(14, 26, 2) = 2.15411;
mean_shape(14, 26, 3) = -0.980785;
mean_shape(14, 27, 1) = -3.75462;
mean_shape(14, 27, 2) = 2.25044;
mean_shape(14, 27, 3) = -0.92388;
mean_shape(14, 28, 1) = -3.90274;
mean_shape(14, 28, 2) = 2.33921;
mean_shape(14, 28, 3) = -0.83147;
mean_shape(14, 29, 1) = -4.03256;
mean_shape(14, 29, 2) = 2.41702;
mean_shape(14, 29, 3) = -0.707107;
mean_shape(14, 30, 1) = -4.1391;
mean_shape(14, 30, 2) = 2.48088;
mean_shape(14, 30, 3) = -0.55557;
mean_shape(14, 31, 1) = -4.21827;
mean_shape(14, 31, 2) = 2.52833;
mean_shape(14, 31, 3) = -0.382683;
mean_shape(14, 32, 1) = -4.26702;
mean_shape(14, 32, 2) = 2.55755;
mean_shape(14, 32, 3) = -0.19509;
mean_shape(15, 1, 1) = -4.70205;
mean_shape(15, 1, 2) = 1.68242;
mean_shape(15, 1, 3) = 0;
mean_shape(15, 2, 1) = -4.68398;
mean_shape(15, 2, 2) = 1.67595;
mean_shape(15, 2, 3) = 0.19509;
mean_shape(15, 3, 1) = -4.63047;
mean_shape(15, 3, 2) = 1.65681;
mean_shape(15, 3, 3) = 0.382683;
mean_shape(15, 4, 1) = -4.54356;
mean_shape(15, 4, 2) = 1.62571;
mean_shape(15, 4, 3) = 0.55557;
mean_shape(15, 5, 1) = -4.42661;
mean_shape(15, 5, 2) = 1.58387;
mean_shape(15, 5, 3) = 0.707107;
mean_shape(15, 6, 1) = -4.2841;
mean_shape(15, 6, 2) = 1.53288;
mean_shape(15, 6, 3) = 0.83147;
mean_shape(15, 7, 1) = -4.12152;
mean_shape(15, 7, 2) = 1.4747;
mean_shape(15, 7, 3) = 0.92388;
mean_shape(15, 8, 1) = -3.9451;
mean_shape(15, 8, 2) = 1.41158;
mean_shape(15, 8, 3) = 0.980785;
mean_shape(15, 9, 1) = -3.76164;
mean_shape(15, 9, 2) = 1.34594;
mean_shape(15, 9, 3) = 1;
mean_shape(15, 10, 1) = -3.57817;
mean_shape(15, 10, 2) = 1.28029;
mean_shape(15, 10, 3) = 0.980785;
mean_shape(15, 11, 1) = -3.40176;
mean_shape(15, 11, 2) = 1.21717;
mean_shape(15, 11, 3) = 0.92388;
mean_shape(15, 12, 1) = -3.23918;
mean_shape(15, 12, 2) = 1.159;
mean_shape(15, 12, 3) = 0.83147;
mean_shape(15, 13, 1) = -3.09667;
mean_shape(15, 13, 2) = 1.10801;
mean_shape(15, 13, 3) = 0.707107;
mean_shape(15, 14, 1) = -2.97972;
mean_shape(15, 14, 2) = 1.06616;
mean_shape(15, 14, 3) = 0.55557;
mean_shape(15, 15, 1) = -2.89281;
mean_shape(15, 15, 2) = 1.03507;
mean_shape(15, 15, 3) = 0.382683;
mean_shape(15, 16, 1) = -2.8393;
mean_shape(15, 16, 2) = 1.01592;
mean_shape(15, 16, 3) = 0.19509;
mean_shape(15, 17, 1) = -2.82123;
mean_shape(15, 17, 2) = 1.00945;
mean_shape(15, 17, 3) = 1.22465e-016;
mean_shape(15, 18, 1) = -2.8393;
mean_shape(15, 18, 2) = 1.01592;
mean_shape(15, 18, 3) = -0.19509;
mean_shape(15, 19, 1) = -2.89281;
mean_shape(15, 19, 2) = 1.03507;
mean_shape(15, 19, 3) = -0.382683;
mean_shape(15, 20, 1) = -2.97972;
mean_shape(15, 20, 2) = 1.06616;
mean_shape(15, 20, 3) = -0.55557;
mean_shape(15, 21, 1) = -3.09667;
mean_shape(15, 21, 2) = 1.10801;
mean_shape(15, 21, 3) = -0.707107;
mean_shape(15, 22, 1) = -3.23918;
mean_shape(15, 22, 2) = 1.159;
mean_shape(15, 22, 3) = -0.83147;
mean_shape(15, 23, 1) = -3.40176;
mean_shape(15, 23, 2) = 1.21717;
mean_shape(15, 23, 3) = -0.92388;
mean_shape(15, 24, 1) = -3.57817;
mean_shape(15, 24, 2) = 1.28029;
mean_shape(15, 24, 3) = -0.980785;
mean_shape(15, 25, 1) = -3.76164;
mean_shape(15, 25, 2) = 1.34594;
mean_shape(15, 25, 3) = -1;
mean_shape(15, 26, 1) = -3.9451;
mean_shape(15, 26, 2) = 1.41158;
mean_shape(15, 26, 3) = -0.980785;
mean_shape(15, 27, 1) = -4.12152;
mean_shape(15, 27, 2) = 1.4747;
mean_shape(15, 27, 3) = -0.92388;
mean_shape(15, 28, 1) = -4.2841;
mean_shape(15, 28, 2) = 1.53288;
mean_shape(15, 28, 3) = -0.83147;
mean_shape(15, 29, 1) = -4.42661;
mean_shape(15, 29, 2) = 1.58387;
mean_shape(15, 29, 3) = -0.707107;
mean_shape(15, 30, 1) = -4.54356;
mean_shape(15, 30, 2) = 1.62571;
mean_shape(15, 30, 3) = -0.55557;
mean_shape(15, 31, 1) = -4.63047;
mean_shape(15, 31, 2) = 1.65681;
mean_shape(15, 31, 3) = -0.382683;
mean_shape(15, 32, 1) = -4.68398;
mean_shape(15, 32, 2) = 1.67595;
mean_shape(15, 32, 3) = -0.19509;
mean_shape(16, 1, 1) = -4.93993;
mean_shape(16, 1, 2) = 0.732769;
mean_shape(16, 1, 3) = 0;
mean_shape(16, 2, 1) = -4.92094;
mean_shape(16, 2, 2) = 0.729953;
mean_shape(16, 2, 3) = 0.19509;
mean_shape(16, 3, 1) = -4.86472;
mean_shape(16, 3, 2) = 0.721613;
mean_shape(16, 3, 3) = 0.382683;
mean_shape(16, 4, 1) = -4.77342;
mean_shape(16, 4, 2) = 0.70807;
mean_shape(16, 4, 3) = 0.55557;
mean_shape(16, 5, 1) = -4.65055;
mean_shape(16, 5, 2) = 0.689844;
mean_shape(16, 5, 3) = 0.707107;
mean_shape(16, 6, 1) = -4.50084;
mean_shape(16, 6, 2) = 0.667636;
mean_shape(16, 6, 3) = 0.83147;
mean_shape(16, 7, 1) = -4.33003;
mean_shape(16, 7, 2) = 0.642299;
mean_shape(16, 7, 3) = 0.92388;
mean_shape(16, 8, 1) = -4.14469;
mean_shape(16, 8, 2) = 0.614806;
mean_shape(16, 8, 3) = 0.980785;
mean_shape(16, 9, 1) = -3.95194;
mean_shape(16, 9, 2) = 0.586215;
mean_shape(16, 9, 3) = 1;
mean_shape(16, 10, 1) = -3.75919;
mean_shape(16, 10, 2) = 0.557624;
mean_shape(16, 10, 3) = 0.980785;
mean_shape(16, 11, 1) = -3.57385;
mean_shape(16, 11, 2) = 0.530131;
mean_shape(16, 11, 3) = 0.92388;
mean_shape(16, 12, 1) = -3.40304;
mean_shape(16, 12, 2) = 0.504794;
mean_shape(16, 12, 3) = 0.83147;
mean_shape(16, 13, 1) = -3.25333;
mean_shape(16, 13, 2) = 0.482586;
mean_shape(16, 13, 3) = 0.707107;
mean_shape(16, 14, 1) = -3.13046;
mean_shape(16, 14, 2) = 0.46436;
mean_shape(16, 14, 3) = 0.55557;
mean_shape(16, 15, 1) = -3.03916;
mean_shape(16, 15, 2) = 0.450817;
mean_shape(16, 15, 3) = 0.382683;
mean_shape(16, 16, 1) = -2.98294;
mean_shape(16, 16, 2) = 0.442477;
mean_shape(16, 16, 3) = 0.19509;
mean_shape(16, 17, 1) = -2.96396;
mean_shape(16, 17, 2) = 0.439661;
mean_shape(16, 17, 3) = 1.22465e-016;
mean_shape(16, 18, 1) = -2.98294;
mean_shape(16, 18, 2) = 0.442477;
mean_shape(16, 18, 3) = -0.19509;
mean_shape(16, 19, 1) = -3.03916;
mean_shape(16, 19, 2) = 0.450817;
mean_shape(16, 19, 3) = -0.382683;
mean_shape(16, 20, 1) = -3.13046;
mean_shape(16, 20, 2) = 0.46436;
mean_shape(16, 20, 3) = -0.55557;
mean_shape(16, 21, 1) = -3.25333;
mean_shape(16, 21, 2) = 0.482586;
mean_shape(16, 21, 3) = -0.707107;
mean_shape(16, 22, 1) = -3.40304;
mean_shape(16, 22, 2) = 0.504794;
mean_shape(16, 22, 3) = -0.83147;
mean_shape(16, 23, 1) = -3.57385;
mean_shape(16, 23, 2) = 0.530131;
mean_shape(16, 23, 3) = -0.92388;
mean_shape(16, 24, 1) = -3.75919;
mean_shape(16, 24, 2) = 0.557624;
mean_shape(16, 24, 3) = -0.980785;
mean_shape(16, 25, 1) = -3.95194;
mean_shape(16, 25, 2) = 0.586215;
mean_shape(16, 25, 3) = -1;
mean_shape(16, 26, 1) = -4.14469;
mean_shape(16, 26, 2) = 0.614806;
mean_shape(16, 26, 3) = -0.980785;
mean_shape(16, 27, 1) = -4.33003;
mean_shape(16, 27, 2) = 0.642299;
mean_shape(16, 27, 3) = -0.92388;
mean_shape(16, 28, 1) = -4.50084;
mean_shape(16, 28, 2) = 0.667636;
mean_shape(16, 28, 3) = -0.83147;
mean_shape(16, 29, 1) = -4.65055;
mean_shape(16, 29, 2) = 0.689844;
mean_shape(16, 29, 3) = -0.707107;
mean_shape(16, 30, 1) = -4.77342;
mean_shape(16, 30, 2) = 0.70807;
mean_shape(16, 30, 3) = -0.55557;
mean_shape(16, 31, 1) = -4.86472;
mean_shape(16, 31, 2) = 0.721613;
mean_shape(16, 31, 3) = -0.382683;
mean_shape(16, 32, 1) = -4.92094;
mean_shape(16, 32, 2) = 0.729953;
mean_shape(16, 32, 3) = -0.19509;
mean_shape(17, 1, 1) = -4.98796;
mean_shape(17, 1, 2) = -0.245043;
mean_shape(17, 1, 3) = 0;
mean_shape(17, 2, 1) = -4.96879;
mean_shape(17, 2, 2) = -0.244101;
mean_shape(17, 2, 3) = 0.19509;
mean_shape(17, 3, 1) = -4.91202;
mean_shape(17, 3, 2) = -0.241312;
mean_shape(17, 3, 3) = 0.382683;
mean_shape(17, 4, 1) = -4.81984;
mean_shape(17, 4, 2) = -0.236783;
mean_shape(17, 4, 3) = 0.55557;
mean_shape(17, 5, 1) = -4.69577;
mean_shape(17, 5, 2) = -0.230689;
mean_shape(17, 5, 3) = 0.707107;
mean_shape(17, 6, 1) = -4.5446;
mean_shape(17, 6, 2) = -0.223262;
mean_shape(17, 6, 3) = 0.83147;
mean_shape(17, 7, 1) = -4.37213;
mean_shape(17, 7, 2) = -0.214789;
mean_shape(17, 7, 3) = 0.92388;
mean_shape(17, 8, 1) = -4.18499;
mean_shape(17, 8, 2) = -0.205595;
mean_shape(17, 8, 3) = 0.980785;
mean_shape(17, 9, 1) = -3.99037;
mean_shape(17, 9, 2) = -0.196034;
mean_shape(17, 9, 3) = 1;
mean_shape(17, 10, 1) = -3.79575;
mean_shape(17, 10, 2) = -0.186473;
mean_shape(17, 10, 3) = 0.980785;
mean_shape(17, 11, 1) = -3.60861;
mean_shape(17, 11, 2) = -0.17728;
mean_shape(17, 11, 3) = 0.92388;
mean_shape(17, 12, 1) = -3.43614;
mean_shape(17, 12, 2) = -0.168807;
mean_shape(17, 12, 3) = 0.83147;
mean_shape(17, 13, 1) = -3.28497;
mean_shape(17, 13, 2) = -0.16138;
mean_shape(17, 13, 3) = 0.707107;
mean_shape(17, 14, 1) = -3.1609;
mean_shape(17, 14, 2) = -0.155285;
mean_shape(17, 14, 3) = 0.55557;
mean_shape(17, 15, 1) = -3.06871;
mean_shape(17, 15, 2) = -0.150756;
mean_shape(17, 15, 3) = 0.382683;
mean_shape(17, 16, 1) = -3.01195;
mean_shape(17, 16, 2) = -0.147967;
mean_shape(17, 16, 3) = 0.19509;
mean_shape(17, 17, 1) = -2.99278;
mean_shape(17, 17, 2) = -0.147026;
mean_shape(17, 17, 3) = 1.22465e-016;
mean_shape(17, 18, 1) = -3.01195;
mean_shape(17, 18, 2) = -0.147967;
mean_shape(17, 18, 3) = -0.19509;
mean_shape(17, 19, 1) = -3.06871;
mean_shape(17, 19, 2) = -0.150756;
mean_shape(17, 19, 3) = -0.382683;
mean_shape(17, 20, 1) = -3.1609;
mean_shape(17, 20, 2) = -0.155285;
mean_shape(17, 20, 3) = -0.55557;
mean_shape(17, 21, 1) = -3.28497;
mean_shape(17, 21, 2) = -0.16138;
mean_shape(17, 21, 3) = -0.707107;
mean_shape(17, 22, 1) = -3.43614;
mean_shape(17, 22, 2) = -0.168807;
mean_shape(17, 22, 3) = -0.83147;
mean_shape(17, 23, 1) = -3.60861;
mean_shape(17, 23, 2) = -0.17728;
mean_shape(17, 23, 3) = -0.92388;
mean_shape(17, 24, 1) = -3.79575;
mean_shape(17, 24, 2) = -0.186473;
mean_shape(17, 24, 3) = -0.980785;
mean_shape(17, 25, 1) = -3.99037;
mean_shape(17, 25, 2) = -0.196034;
mean_shape(17, 25, 3) = -1;
mean_shape(17, 26, 1) = -4.18499;
mean_shape(17, 26, 2) = -0.205595;
mean_shape(17, 26, 3) = -0.980785;
mean_shape(17, 27, 1) = -4.37213;
mean_shape(17, 27, 2) = -0.214789;
mean_shape(17, 27, 3) = -0.92388;
mean_shape(17, 28, 1) = -4.5446;
mean_shape(17, 28, 2) = -0.223262;
mean_shape(17, 28, 3) = -0.83147;
mean_shape(17, 29, 1) = -4.69577;
mean_shape(17, 29, 2) = -0.230689;
mean_shape(17, 29, 3) = -0.707107;
mean_shape(17, 30, 1) = -4.81984;
mean_shape(17, 30, 2) = -0.236783;
mean_shape(17, 30, 3) = -0.55557;
mean_shape(17, 31, 1) = -4.91202;
mean_shape(17, 31, 2) = -0.241312;
mean_shape(17, 31, 3) = -0.382683;
mean_shape(17, 32, 1) = -4.96879;
mean_shape(17, 32, 2) = -0.244101;
mean_shape(17, 32, 3) = -0.19509;
mean_shape(18, 1, 1) = -4.84431;
mean_shape(18, 1, 2) = -1.21344;
mean_shape(18, 1, 3) = 0;
mean_shape(18, 2, 1) = -4.8257;
mean_shape(18, 2, 2) = -1.20877;
mean_shape(18, 2, 3) = 0.19509;
mean_shape(18, 3, 1) = -4.77056;
mean_shape(18, 3, 2) = -1.19496;
mean_shape(18, 3, 3) = 0.382683;
mean_shape(18, 4, 1) = -4.68103;
mean_shape(18, 4, 2) = -1.17254;
mean_shape(18, 4, 3) = 0.55557;
mean_shape(18, 5, 1) = -4.56054;
mean_shape(18, 5, 2) = -1.14236;
mean_shape(18, 5, 3) = 0.707107;
mean_shape(18, 6, 1) = -4.41372;
mean_shape(18, 6, 2) = -1.10558;
mean_shape(18, 6, 3) = 0.83147;
mean_shape(18, 7, 1) = -4.24622;
mean_shape(18, 7, 2) = -1.06362;
mean_shape(18, 7, 3) = 0.92388;
mean_shape(18, 8, 1) = -4.06447;
mean_shape(18, 8, 2) = -1.0181;
mean_shape(18, 8, 3) = 0.980785;
mean_shape(18, 9, 1) = -3.87545;
mean_shape(18, 9, 2) = -0.97075;
mean_shape(18, 9, 3) = 1;
mean_shape(18, 10, 1) = -3.68644;
mean_shape(18, 10, 2) = -0.923404;
mean_shape(18, 10, 3) = 0.980785;
mean_shape(18, 11, 1) = -3.50468;
mean_shape(18, 11, 2) = -0.877878;
mean_shape(18, 11, 3) = 0.92388;
mean_shape(18, 12, 1) = -3.33718;
mean_shape(18, 12, 2) = -0.83592;
mean_shape(18, 12, 3) = 0.83147;
mean_shape(18, 13, 1) = -3.19036;
mean_shape(18, 13, 2) = -0.799144;
mean_shape(18, 13, 3) = 0.707107;
mean_shape(18, 14, 1) = -3.06987;
mean_shape(18, 14, 2) = -0.768963;
mean_shape(18, 14, 3) = 0.55557;
mean_shape(18, 15, 1) = -2.98034;
mean_shape(18, 15, 2) = -0.746536;
mean_shape(18, 15, 3) = 0.382683;
mean_shape(18, 16, 1) = -2.9252;
mean_shape(18, 16, 2) = -0.732726;
mean_shape(18, 16, 3) = 0.19509;
mean_shape(18, 17, 1) = -2.90659;
mean_shape(18, 17, 2) = -0.728062;
mean_shape(18, 17, 3) = 1.22465e-016;
mean_shape(18, 18, 1) = -2.9252;
mean_shape(18, 18, 2) = -0.732726;
mean_shape(18, 18, 3) = -0.19509;
mean_shape(18, 19, 1) = -2.98034;
mean_shape(18, 19, 2) = -0.746536;
mean_shape(18, 19, 3) = -0.382683;
mean_shape(18, 20, 1) = -3.06987;
mean_shape(18, 20, 2) = -0.768963;
mean_shape(18, 20, 3) = -0.55557;
mean_shape(18, 21, 1) = -3.19036;
mean_shape(18, 21, 2) = -0.799144;
mean_shape(18, 21, 3) = -0.707107;
mean_shape(18, 22, 1) = -3.33718;
mean_shape(18, 22, 2) = -0.83592;
mean_shape(18, 22, 3) = -0.83147;
mean_shape(18, 23, 1) = -3.50468;
mean_shape(18, 23, 2) = -0.877878;
mean_shape(18, 23, 3) = -0.92388;
mean_shape(18, 24, 1) = -3.68644;
mean_shape(18, 24, 2) = -0.923404;
mean_shape(18, 24, 3) = -0.980785;
mean_shape(18, 25, 1) = -3.87545;
mean_shape(18, 25, 2) = -0.97075;
mean_shape(18, 25, 3) = -1;
mean_shape(18, 26, 1) = -4.06447;
mean_shape(18, 26, 2) = -1.0181;
mean_shape(18, 26, 3) = -0.980785;
mean_shape(18, 27, 1) = -4.24622;
mean_shape(18, 27, 2) = -1.06362;
mean_shape(18, 27, 3) = -0.92388;
mean_shape(18, 28, 1) = -4.41372;
mean_shape(18, 28, 2) = -1.10558;
mean_shape(18, 28, 3) = -0.83147;
mean_shape(18, 29, 1) = -4.56054;
mean_shape(18, 29, 2) = -1.14236;
mean_shape(18, 29, 3) = -0.707107;
mean_shape(18, 30, 1) = -4.68103;
mean_shape(18, 30, 2) = -1.17254;
mean_shape(18, 30, 3) = -0.55557;
mean_shape(18, 31, 1) = -4.77056;
mean_shape(18, 31, 2) = -1.19496;
mean_shape(18, 31, 3) = -0.382683;
mean_shape(18, 32, 1) = -4.8257;
mean_shape(18, 32, 2) = -1.20877;
mean_shape(18, 32, 3) = -0.19509;
mean_shape(19, 1, 1) = -4.5145;
mean_shape(19, 1, 2) = -2.1352;
mean_shape(19, 1, 3) = 0;
mean_shape(19, 2, 1) = -4.49715;
mean_shape(19, 2, 2) = -2.12699;
mean_shape(19, 2, 3) = 0.19509;
mean_shape(19, 3, 1) = -4.44577;
mean_shape(19, 3, 2) = -2.10269;
mean_shape(19, 3, 3) = 0.382683;
mean_shape(19, 4, 1) = -4.36234;
mean_shape(19, 4, 2) = -2.06323;
mean_shape(19, 4, 3) = 0.55557;
mean_shape(19, 5, 1) = -4.25005;
mean_shape(19, 5, 2) = -2.01012;
mean_shape(19, 5, 3) = 0.707107;
mean_shape(19, 6, 1) = -4.11323;
mean_shape(19, 6, 2) = -1.94541;
mean_shape(19, 6, 3) = 0.83147;
mean_shape(19, 7, 1) = -3.95713;
mean_shape(19, 7, 2) = -1.87158;
mean_shape(19, 7, 3) = 0.92388;
mean_shape(19, 8, 1) = -3.78775;
mean_shape(19, 8, 2) = -1.79147;
mean_shape(19, 8, 3) = 0.980785;
mean_shape(19, 9, 1) = -3.6116;
mean_shape(19, 9, 2) = -1.70816;
mean_shape(19, 9, 3) = 1;
mean_shape(19, 10, 1) = -3.43545;
mean_shape(19, 10, 2) = -1.62485;
mean_shape(19, 10, 3) = 0.980785;
mean_shape(19, 11, 1) = -3.26608;
mean_shape(19, 11, 2) = -1.54474;
mean_shape(19, 11, 3) = 0.92388;
mean_shape(19, 12, 1) = -3.10998;
mean_shape(19, 12, 2) = -1.47091;
mean_shape(19, 12, 3) = 0.83147;
mean_shape(19, 13, 1) = -2.97315;
mean_shape(19, 13, 2) = -1.4062;
mean_shape(19, 13, 3) = 0.707107;
mean_shape(19, 14, 1) = -2.86087;
mean_shape(19, 14, 2) = -1.35309;
mean_shape(19, 14, 3) = 0.55557;
mean_shape(19, 15, 1) = -2.77743;
mean_shape(19, 15, 2) = -1.31363;
mean_shape(19, 15, 3) = 0.382683;
mean_shape(19, 16, 1) = -2.72605;
mean_shape(19, 16, 2) = -1.28933;
mean_shape(19, 16, 3) = 0.19509;
mean_shape(19, 17, 1) = -2.7087;
mean_shape(19, 17, 2) = -1.28112;
mean_shape(19, 17, 3) = 1.22465e-016;
mean_shape(19, 18, 1) = -2.72605;
mean_shape(19, 18, 2) = -1.28933;
mean_shape(19, 18, 3) = -0.19509;
mean_shape(19, 19, 1) = -2.77743;
mean_shape(19, 19, 2) = -1.31363;
mean_shape(19, 19, 3) = -0.382683;
mean_shape(19, 20, 1) = -2.86087;
mean_shape(19, 20, 2) = -1.35309;
mean_shape(19, 20, 3) = -0.55557;
mean_shape(19, 21, 1) = -2.97315;
mean_shape(19, 21, 2) = -1.4062;
mean_shape(19, 21, 3) = -0.707107;
mean_shape(19, 22, 1) = -3.10998;
mean_shape(19, 22, 2) = -1.47091;
mean_shape(19, 22, 3) = -0.83147;
mean_shape(19, 23, 1) = -3.26608;
mean_shape(19, 23, 2) = -1.54474;
mean_shape(19, 23, 3) = -0.92388;
mean_shape(19, 24, 1) = -3.43545;
mean_shape(19, 24, 2) = -1.62485;
mean_shape(19, 24, 3) = -0.980785;
mean_shape(19, 25, 1) = -3.6116;
mean_shape(19, 25, 2) = -1.70816;
mean_shape(19, 25, 3) = -1;
mean_shape(19, 26, 1) = -3.78775;
mean_shape(19, 26, 2) = -1.79147;
mean_shape(19, 26, 3) = -0.980785;
mean_shape(19, 27, 1) = -3.95713;
mean_shape(19, 27, 2) = -1.87158;
mean_shape(19, 27, 3) = -0.92388;
mean_shape(19, 28, 1) = -4.11323;
mean_shape(19, 28, 2) = -1.94541;
mean_shape(19, 28, 3) = -0.83147;
mean_shape(19, 29, 1) = -4.25005;
mean_shape(19, 29, 2) = -2.01012;
mean_shape(19, 29, 3) = -0.707107;
mean_shape(19, 30, 1) = -4.36234;
mean_shape(19, 30, 2) = -2.06323;
mean_shape(19, 30, 3) = -0.55557;
mean_shape(19, 31, 1) = -4.44577;
mean_shape(19, 31, 2) = -2.10269;
mean_shape(19, 31, 3) = -0.382683;
mean_shape(19, 32, 1) = -4.49715;
mean_shape(19, 32, 2) = -2.12699;
mean_shape(19, 32, 3) = -0.19509;
mean_shape(20, 1, 1) = -4.0112;
mean_shape(20, 1, 2) = -2.97491;
mean_shape(20, 1, 3) = 0;
mean_shape(20, 2, 1) = -3.99579;
mean_shape(20, 2, 2) = -2.96348;
mean_shape(20, 2, 3) = 0.19509;
mean_shape(20, 3, 1) = -3.95013;
mean_shape(20, 3, 2) = -2.92962;
mean_shape(20, 3, 3) = 0.382683;
mean_shape(20, 4, 1) = -3.876;
mean_shape(20, 4, 2) = -2.87464;
mean_shape(20, 4, 3) = 0.55557;
mean_shape(20, 5, 1) = -3.77623;
mean_shape(20, 5, 2) = -2.80064;
mean_shape(20, 5, 3) = 0.707107;
mean_shape(20, 6, 1) = -3.65466;
mean_shape(20, 6, 2) = -2.71048;
mean_shape(20, 6, 3) = 0.83147;
mean_shape(20, 7, 1) = -3.51596;
mean_shape(20, 7, 2) = -2.60762;
mean_shape(20, 7, 3) = 0.92388;
mean_shape(20, 8, 1) = -3.36547;
mean_shape(20, 8, 2) = -2.496;
mean_shape(20, 8, 3) = 0.980785;
mean_shape(20, 9, 1) = -3.20896;
mean_shape(20, 9, 2) = -2.37993;
mean_shape(20, 9, 3) = 1;
mean_shape(20, 10, 1) = -3.05245;
mean_shape(20, 10, 2) = -2.26385;
mean_shape(20, 10, 3) = 0.980785;
mean_shape(20, 11, 1) = -2.90196;
mean_shape(20, 11, 2) = -2.15224;
mean_shape(20, 11, 3) = 0.92388;
mean_shape(20, 12, 1) = -2.76326;
mean_shape(20, 12, 2) = -2.04937;
mean_shape(20, 12, 3) = 0.83147;
mean_shape(20, 13, 1) = -2.64169;
mean_shape(20, 13, 2) = -1.95921;
mean_shape(20, 13, 3) = 0.707107;
mean_shape(20, 14, 1) = -2.54192;
mean_shape(20, 14, 2) = -1.88522;
mean_shape(20, 14, 3) = 0.55557;
mean_shape(20, 15, 1) = -2.46779;
mean_shape(20, 15, 2) = -1.83024;
mean_shape(20, 15, 3) = 0.382683;
mean_shape(20, 16, 1) = -2.42213;
mean_shape(20, 16, 2) = -1.79638;
mean_shape(20, 16, 3) = 0.19509;
mean_shape(20, 17, 1) = -2.40672;
mean_shape(20, 17, 2) = -1.78495;
mean_shape(20, 17, 3) = 1.22465e-016;
mean_shape(20, 18, 1) = -2.42213;
mean_shape(20, 18, 2) = -1.79638;
mean_shape(20, 18, 3) = -0.19509;
mean_shape(20, 19, 1) = -2.46779;
mean_shape(20, 19, 2) = -1.83024;
mean_shape(20, 19, 3) = -0.382683;
mean_shape(20, 20, 1) = -2.54192;
mean_shape(20, 20, 2) = -1.88522;
mean_shape(20, 20, 3) = -0.55557;
mean_shape(20, 21, 1) = -2.64169;
mean_shape(20, 21, 2) = -1.95921;
mean_shape(20, 21, 3) = -0.707107;
mean_shape(20, 22, 1) = -2.76326;
mean_shape(20, 22, 2) = -2.04937;
mean_shape(20, 22, 3) = -0.83147;
mean_shape(20, 23, 1) = -2.90196;
mean_shape(20, 23, 2) = -2.15224;
mean_shape(20, 23, 3) = -0.92388;
mean_shape(20, 24, 1) = -3.05245;
mean_shape(20, 24, 2) = -2.26385;
mean_shape(20, 24, 3) = -0.980785;
mean_shape(20, 25, 1) = -3.20896;
mean_shape(20, 25, 2) = -2.37993;
mean_shape(20, 25, 3) = -1;
mean_shape(20, 26, 1) = -3.36547;
mean_shape(20, 26, 2) = -2.496;
mean_shape(20, 26, 3) = -0.980785;
mean_shape(20, 27, 1) = -3.51596;
mean_shape(20, 27, 2) = -2.60762;
mean_shape(20, 27, 3) = -0.92388;
mean_shape(20, 28, 1) = -3.65466;
mean_shape(20, 28, 2) = -2.71048;
mean_shape(20, 28, 3) = -0.83147;
mean_shape(20, 29, 1) = -3.77623;
mean_shape(20, 29, 2) = -2.80064;
mean_shape(20, 29, 3) = -0.707107;
mean_shape(20, 30, 1) = -3.876;
mean_shape(20, 30, 2) = -2.87464;
mean_shape(20, 30, 3) = -0.55557;
mean_shape(20, 31, 1) = -3.95013;
mean_shape(20, 31, 2) = -2.92962;
mean_shape(20, 31, 3) = -0.382683;
mean_shape(20, 32, 1) = -3.99579;
mean_shape(20, 32, 2) = -2.96348;
mean_shape(20, 32, 3) = -0.19509;
mean_shape(21, 1, 1) = -3.35375;
mean_shape(21, 1, 2) = -3.70029;
mean_shape(21, 1, 3) = 0;
mean_shape(21, 2, 1) = -3.34086;
mean_shape(21, 2, 2) = -3.68607;
mean_shape(21, 2, 3) = 0.19509;
mean_shape(21, 3, 1) = -3.30269;
mean_shape(21, 3, 2) = -3.64396;
mean_shape(21, 3, 3) = 0.382683;
mean_shape(21, 4, 1) = -3.24071;
mean_shape(21, 4, 2) = -3.57557;
mean_shape(21, 4, 3) = 0.55557;
mean_shape(21, 5, 1) = -3.15729;
mean_shape(21, 5, 2) = -3.48353;
mean_shape(21, 5, 3) = 0.707107;
mean_shape(21, 6, 1) = -3.05565;
mean_shape(21, 6, 2) = -3.37139;
mean_shape(21, 6, 3) = 0.83147;
mean_shape(21, 7, 1) = -2.93969;
mean_shape(21, 7, 2) = -3.24344;
mean_shape(21, 7, 3) = 0.92388;
mean_shape(21, 8, 1) = -2.81386;
mean_shape(21, 8, 2) = -3.10461;
mean_shape(21, 8, 3) = 0.980785;
mean_shape(21, 9, 1) = -2.683;
mean_shape(21, 9, 2) = -2.96023;
mean_shape(21, 9, 3) = 1;
mean_shape(21, 10, 1) = -2.55214;
mean_shape(21, 10, 2) = -2.81586;
mean_shape(21, 10, 3) = 0.980785;
mean_shape(21, 11, 1) = -2.42632;
mean_shape(21, 11, 2) = -2.67703;
mean_shape(21, 11, 3) = 0.92388;
mean_shape(21, 12, 1) = -2.31035;
mean_shape(21, 12, 2) = -2.54908;
mean_shape(21, 12, 3) = 0.83147;
mean_shape(21, 13, 1) = -2.20871;
mean_shape(21, 13, 2) = -2.43693;
mean_shape(21, 13, 3) = 0.707107;
mean_shape(21, 14, 1) = -2.12529;
mean_shape(21, 14, 2) = -2.3449;
mean_shape(21, 14, 3) = 0.55557;
mean_shape(21, 15, 1) = -2.06331;
mean_shape(21, 15, 2) = -2.27651;
mean_shape(21, 15, 3) = 0.382683;
mean_shape(21, 16, 1) = -2.02514;
mean_shape(21, 16, 2) = -2.2344;
mean_shape(21, 16, 3) = 0.19509;
mean_shape(21, 17, 1) = -2.01225;
mean_shape(21, 17, 2) = -2.22018;
mean_shape(21, 17, 3) = 1.22465e-016;
mean_shape(21, 18, 1) = -2.02514;
mean_shape(21, 18, 2) = -2.2344;
mean_shape(21, 18, 3) = -0.19509;
mean_shape(21, 19, 1) = -2.06331;
mean_shape(21, 19, 2) = -2.27651;
mean_shape(21, 19, 3) = -0.382683;
mean_shape(21, 20, 1) = -2.12529;
mean_shape(21, 20, 2) = -2.3449;
mean_shape(21, 20, 3) = -0.55557;
mean_shape(21, 21, 1) = -2.20871;
mean_shape(21, 21, 2) = -2.43693;
mean_shape(21, 21, 3) = -0.707107;
mean_shape(21, 22, 1) = -2.31035;
mean_shape(21, 22, 2) = -2.54908;
mean_shape(21, 22, 3) = -0.83147;
mean_shape(21, 23, 1) = -2.42632;
mean_shape(21, 23, 2) = -2.67703;
mean_shape(21, 23, 3) = -0.92388;
mean_shape(21, 24, 1) = -2.55214;
mean_shape(21, 24, 2) = -2.81586;
mean_shape(21, 24, 3) = -0.980785;
mean_shape(21, 25, 1) = -2.683;
mean_shape(21, 25, 2) = -2.96023;
mean_shape(21, 25, 3) = -1;
mean_shape(21, 26, 1) = -2.81386;
mean_shape(21, 26, 2) = -3.10461;
mean_shape(21, 26, 3) = -0.980785;
mean_shape(21, 27, 1) = -2.93969;
mean_shape(21, 27, 2) = -3.24344;
mean_shape(21, 27, 3) = -0.92388;
mean_shape(21, 28, 1) = -3.05565;
mean_shape(21, 28, 2) = -3.37139;
mean_shape(21, 28, 3) = -0.83147;
mean_shape(21, 29, 1) = -3.15729;
mean_shape(21, 29, 2) = -3.48353;
mean_shape(21, 29, 3) = -0.707107;
mean_shape(21, 30, 1) = -3.24071;
mean_shape(21, 30, 2) = -3.57557;
mean_shape(21, 30, 3) = -0.55557;
mean_shape(21, 31, 1) = -3.30269;
mean_shape(21, 31, 2) = -3.64396;
mean_shape(21, 31, 3) = -0.382683;
mean_shape(21, 32, 1) = -3.34086;
mean_shape(21, 32, 2) = -3.68607;
mean_shape(21, 32, 3) = -0.19509;
mean_shape(22, 1, 1) = -2.56742;
mean_shape(22, 1, 2) = -4.28348;
mean_shape(22, 1, 3) = 0;
mean_shape(22, 2, 1) = -2.55755;
mean_shape(22, 2, 2) = -4.26702;
mean_shape(22, 2, 3) = 0.19509;
mean_shape(22, 3, 1) = -2.52833;
mean_shape(22, 3, 2) = -4.21827;
mean_shape(22, 3, 3) = 0.382683;
mean_shape(22, 4, 1) = -2.48088;
mean_shape(22, 4, 2) = -4.1391;
mean_shape(22, 4, 3) = 0.55557;
mean_shape(22, 5, 1) = -2.41702;
mean_shape(22, 5, 2) = -4.03256;
mean_shape(22, 5, 3) = 0.707107;
mean_shape(22, 6, 1) = -2.33921;
mean_shape(22, 6, 2) = -3.90274;
mean_shape(22, 6, 3) = 0.83147;
mean_shape(22, 7, 1) = -2.25044;
mean_shape(22, 7, 2) = -3.75462;
mean_shape(22, 7, 3) = 0.92388;
mean_shape(22, 8, 1) = -2.15411;
mean_shape(22, 8, 2) = -3.59391;
mean_shape(22, 8, 3) = 0.980785;
mean_shape(22, 9, 1) = -2.05393;
mean_shape(22, 9, 2) = -3.42678;
mean_shape(22, 9, 3) = 1;
mean_shape(22, 10, 1) = -1.95376;
mean_shape(22, 10, 2) = -3.25965;
mean_shape(22, 10, 3) = 0.980785;
mean_shape(22, 11, 1) = -1.85743;
mean_shape(22, 11, 2) = -3.09894;
mean_shape(22, 11, 3) = 0.92388;
mean_shape(22, 12, 1) = -1.76866;
mean_shape(22, 12, 2) = -2.95083;
mean_shape(22, 12, 3) = 0.83147;
mean_shape(22, 13, 1) = -1.69085;
mean_shape(22, 13, 2) = -2.82101;
mean_shape(22, 13, 3) = 0.707107;
mean_shape(22, 14, 1) = -1.62699;
mean_shape(22, 14, 2) = -2.71447;
mean_shape(22, 14, 3) = 0.55557;
mean_shape(22, 15, 1) = -1.57954;
mean_shape(22, 15, 2) = -2.6353;
mean_shape(22, 15, 3) = 0.382683;
mean_shape(22, 16, 1) = -1.55032;
mean_shape(22, 16, 2) = -2.58655;
mean_shape(22, 16, 3) = 0.19509;
mean_shape(22, 17, 1) = -1.54045;
mean_shape(22, 17, 2) = -2.57009;
mean_shape(22, 17, 3) = 1.22465e-016;
mean_shape(22, 18, 1) = -1.55032;
mean_shape(22, 18, 2) = -2.58655;
mean_shape(22, 18, 3) = -0.19509;
mean_shape(22, 19, 1) = -1.57954;
mean_shape(22, 19, 2) = -2.6353;
mean_shape(22, 19, 3) = -0.382683;
mean_shape(22, 20, 1) = -1.62699;
mean_shape(22, 20, 2) = -2.71447;
mean_shape(22, 20, 3) = -0.55557;
mean_shape(22, 21, 1) = -1.69085;
mean_shape(22, 21, 2) = -2.82101;
mean_shape(22, 21, 3) = -0.707107;
mean_shape(22, 22, 1) = -1.76866;
mean_shape(22, 22, 2) = -2.95083;
mean_shape(22, 22, 3) = -0.83147;
mean_shape(22, 23, 1) = -1.85743;
mean_shape(22, 23, 2) = -3.09894;
mean_shape(22, 23, 3) = -0.92388;
mean_shape(22, 24, 1) = -1.95376;
mean_shape(22, 24, 2) = -3.25965;
mean_shape(22, 24, 3) = -0.980785;
mean_shape(22, 25, 1) = -2.05393;
mean_shape(22, 25, 2) = -3.42678;
mean_shape(22, 25, 3) = -1;
mean_shape(22, 26, 1) = -2.15411;
mean_shape(22, 26, 2) = -3.59391;
mean_shape(22, 26, 3) = -0.980785;
mean_shape(22, 27, 1) = -2.25044;
mean_shape(22, 27, 2) = -3.75462;
mean_shape(22, 27, 3) = -0.92388;
mean_shape(22, 28, 1) = -2.33921;
mean_shape(22, 28, 2) = -3.90274;
mean_shape(22, 28, 3) = -0.83147;
mean_shape(22, 29, 1) = -2.41702;
mean_shape(22, 29, 2) = -4.03256;
mean_shape(22, 29, 3) = -0.707107;
mean_shape(22, 30, 1) = -2.48088;
mean_shape(22, 30, 2) = -4.1391;
mean_shape(22, 30, 3) = -0.55557;
mean_shape(22, 31, 1) = -2.52833;
mean_shape(22, 31, 2) = -4.21827;
mean_shape(22, 31, 3) = -0.382683;
mean_shape(22, 32, 1) = -2.55755;
mean_shape(22, 32, 2) = -4.26702;
mean_shape(22, 32, 3) = -0.19509;
mean_shape(23, 1, 1) = -1.68242;
mean_shape(23, 1, 2) = -4.70205;
mean_shape(23, 1, 3) = 0;
mean_shape(23, 2, 1) = -1.67595;
mean_shape(23, 2, 2) = -4.68398;
mean_shape(23, 2, 3) = 0.19509;
mean_shape(23, 3, 1) = -1.65681;
mean_shape(23, 3, 2) = -4.63047;
mean_shape(23, 3, 3) = 0.382683;
mean_shape(23, 4, 1) = -1.62571;
mean_shape(23, 4, 2) = -4.54356;
mean_shape(23, 4, 3) = 0.55557;
mean_shape(23, 5, 1) = -1.58387;
mean_shape(23, 5, 2) = -4.42661;
mean_shape(23, 5, 3) = 0.707107;
mean_shape(23, 6, 1) = -1.53288;
mean_shape(23, 6, 2) = -4.2841;
mean_shape(23, 6, 3) = 0.83147;
mean_shape(23, 7, 1) = -1.4747;
mean_shape(23, 7, 2) = -4.12152;
mean_shape(23, 7, 3) = 0.92388;
mean_shape(23, 8, 1) = -1.41158;
mean_shape(23, 8, 2) = -3.9451;
mean_shape(23, 8, 3) = 0.980785;
mean_shape(23, 9, 1) = -1.34594;
mean_shape(23, 9, 2) = -3.76164;
mean_shape(23, 9, 3) = 1;
mean_shape(23, 10, 1) = -1.28029;
mean_shape(23, 10, 2) = -3.57817;
mean_shape(23, 10, 3) = 0.980785;
mean_shape(23, 11, 1) = -1.21717;
mean_shape(23, 11, 2) = -3.40176;
mean_shape(23, 11, 3) = 0.92388;
mean_shape(23, 12, 1) = -1.159;
mean_shape(23, 12, 2) = -3.23918;
mean_shape(23, 12, 3) = 0.83147;
mean_shape(23, 13, 1) = -1.10801;
mean_shape(23, 13, 2) = -3.09667;
mean_shape(23, 13, 3) = 0.707107;
mean_shape(23, 14, 1) = -1.06616;
mean_shape(23, 14, 2) = -2.97972;
mean_shape(23, 14, 3) = 0.55557;
mean_shape(23, 15, 1) = -1.03507;
mean_shape(23, 15, 2) = -2.89281;
mean_shape(23, 15, 3) = 0.382683;
mean_shape(23, 16, 1) = -1.01592;
mean_shape(23, 16, 2) = -2.8393;
mean_shape(23, 16, 3) = 0.19509;
mean_shape(23, 17, 1) = -1.00945;
mean_shape(23, 17, 2) = -2.82123;
mean_shape(23, 17, 3) = 1.22465e-016;
mean_shape(23, 18, 1) = -1.01592;
mean_shape(23, 18, 2) = -2.8393;
mean_shape(23, 18, 3) = -0.19509;
mean_shape(23, 19, 1) = -1.03507;
mean_shape(23, 19, 2) = -2.89281;
mean_shape(23, 19, 3) = -0.382683;
mean_shape(23, 20, 1) = -1.06616;
mean_shape(23, 20, 2) = -2.97972;
mean_shape(23, 20, 3) = -0.55557;
mean_shape(23, 21, 1) = -1.10801;
mean_shape(23, 21, 2) = -3.09667;
mean_shape(23, 21, 3) = -0.707107;
mean_shape(23, 22, 1) = -1.159;
mean_shape(23, 22, 2) = -3.23918;
mean_shape(23, 22, 3) = -0.83147;
mean_shape(23, 23, 1) = -1.21717;
mean_shape(23, 23, 2) = -3.40176;
mean_shape(23, 23, 3) = -0.92388;
mean_shape(23, 24, 1) = -1.28029;
mean_shape(23, 24, 2) = -3.57817;
mean_shape(23, 24, 3) = -0.980785;
mean_shape(23, 25, 1) = -1.34594;
mean_shape(23, 25, 2) = -3.76164;
mean_shape(23, 25, 3) = -1;
mean_shape(23, 26, 1) = -1.41158;
mean_shape(23, 26, 2) = -3.9451;
mean_shape(23, 26, 3) = -0.980785;
mean_shape(23, 27, 1) = -1.4747;
mean_shape(23, 27, 2) = -4.12152;
mean_shape(23, 27, 3) = -0.92388;
mean_shape(23, 28, 1) = -1.53288;
mean_shape(23, 28, 2) = -4.2841;
mean_shape(23, 28, 3) = -0.83147;
mean_shape(23, 29, 1) = -1.58387;
mean_shape(23, 29, 2) = -4.42661;
mean_shape(23, 29, 3) = -0.707107;
mean_shape(23, 30, 1) = -1.62571;
mean_shape(23, 30, 2) = -4.54356;
mean_shape(23, 30, 3) = -0.55557;
mean_shape(23, 31, 1) = -1.65681;
mean_shape(23, 31, 2) = -4.63047;
mean_shape(23, 31, 3) = -0.382683;
mean_shape(23, 32, 1) = -1.67595;
mean_shape(23, 32, 2) = -4.68398;
mean_shape(23, 32, 3) = -0.19509;
mean_shape(24, 1, 1) = -0.732769;
mean_shape(24, 1, 2) = -4.93993;
mean_shape(24, 1, 3) = 0;
mean_shape(24, 2, 1) = -0.729953;
mean_shape(24, 2, 2) = -4.92094;
mean_shape(24, 2, 3) = 0.19509;
mean_shape(24, 3, 1) = -0.721613;
mean_shape(24, 3, 2) = -4.86472;
mean_shape(24, 3, 3) = 0.382683;
mean_shape(24, 4, 1) = -0.70807;
mean_shape(24, 4, 2) = -4.77342;
mean_shape(24, 4, 3) = 0.55557;
mean_shape(24, 5, 1) = -0.689844;
mean_shape(24, 5, 2) = -4.65055;
mean_shape(24, 5, 3) = 0.707107;
mean_shape(24, 6, 1) = -0.667636;
mean_shape(24, 6, 2) = -4.50084;
mean_shape(24, 6, 3) = 0.83147;
mean_shape(24, 7, 1) = -0.642299;
mean_shape(24, 7, 2) = -4.33003;
mean_shape(24, 7, 3) = 0.92388;
mean_shape(24, 8, 1) = -0.614806;
mean_shape(24, 8, 2) = -4.14469;
mean_shape(24, 8, 3) = 0.980785;
mean_shape(24, 9, 1) = -0.586215;
mean_shape(24, 9, 2) = -3.95194;
mean_shape(24, 9, 3) = 1;
mean_shape(24, 10, 1) = -0.557624;
mean_shape(24, 10, 2) = -3.75919;
mean_shape(24, 10, 3) = 0.980785;
mean_shape(24, 11, 1) = -0.530131;
mean_shape(24, 11, 2) = -3.57385;
mean_shape(24, 11, 3) = 0.92388;
mean_shape(24, 12, 1) = -0.504794;
mean_shape(24, 12, 2) = -3.40304;
mean_shape(24, 12, 3) = 0.83147;
mean_shape(24, 13, 1) = -0.482586;
mean_shape(24, 13, 2) = -3.25333;
mean_shape(24, 13, 3) = 0.707107;
mean_shape(24, 14, 1) = -0.46436;
mean_shape(24, 14, 2) = -3.13046;
mean_shape(24, 14, 3) = 0.55557;
mean_shape(24, 15, 1) = -0.450817;
mean_shape(24, 15, 2) = -3.03916;
mean_shape(24, 15, 3) = 0.382683;
mean_shape(24, 16, 1) = -0.442477;
mean_shape(24, 16, 2) = -2.98294;
mean_shape(24, 16, 3) = 0.19509;
mean_shape(24, 17, 1) = -0.439661;
mean_shape(24, 17, 2) = -2.96396;
mean_shape(24, 17, 3) = 1.22465e-016;
mean_shape(24, 18, 1) = -0.442477;
mean_shape(24, 18, 2) = -2.98294;
mean_shape(24, 18, 3) = -0.19509;
mean_shape(24, 19, 1) = -0.450817;
mean_shape(24, 19, 2) = -3.03916;
mean_shape(24, 19, 3) = -0.382683;
mean_shape(24, 20, 1) = -0.46436;
mean_shape(24, 20, 2) = -3.13046;
mean_shape(24, 20, 3) = -0.55557;
mean_shape(24, 21, 1) = -0.482586;
mean_shape(24, 21, 2) = -3.25333;
mean_shape(24, 21, 3) = -0.707107;
mean_shape(24, 22, 1) = -0.504794;
mean_shape(24, 22, 2) = -3.40304;
mean_shape(24, 22, 3) = -0.83147;
mean_shape(24, 23, 1) = -0.530131;
mean_shape(24, 23, 2) = -3.57385;
mean_shape(24, 23, 3) = -0.92388;
mean_shape(24, 24, 1) = -0.557624;
mean_shape(24, 24, 2) = -3.75919;
mean_shape(24, 24, 3) = -0.980785;
mean_shape(24, 25, 1) = -0.586215;
mean_shape(24, 25, 2) = -3.95194;
mean_shape(24, 25, 3) = -1;
mean_shape(24, 26, 1) = -0.614806;
mean_shape(24, 26, 2) = -4.14469;
mean_shape(24, 26, 3) = -0.980785;
mean_shape(24, 27, 1) = -0.642299;
mean_shape(24, 27, 2) = -4.33003;
mean_shape(24, 27, 3) = -0.92388;
mean_shape(24, 28, 1) = -0.667636;
mean_shape(24, 28, 2) = -4.50084;
mean_shape(24, 28, 3) = -0.83147;
mean_shape(24, 29, 1) = -0.689844;
mean_shape(24, 29, 2) = -4.65055;
mean_shape(24, 29, 3) = -0.707107;
mean_shape(24, 30, 1) = -0.70807;
mean_shape(24, 30, 2) = -4.77342;
mean_shape(24, 30, 3) = -0.55557;
mean_shape(24, 31, 1) = -0.721613;
mean_shape(24, 31, 2) = -4.86472;
mean_shape(24, 31, 3) = -0.382683;
mean_shape(24, 32, 1) = -0.729953;
mean_shape(24, 32, 2) = -4.92094;
mean_shape(24, 32, 3) = -0.19509;
mean_shape(25, 1, 1) = 0.245043;
mean_shape(25, 1, 2) = -4.98796;
mean_shape(25, 1, 3) = 0;
mean_shape(25, 2, 1) = 0.244101;
mean_shape(25, 2, 2) = -4.96879;
mean_shape(25, 2, 3) = 0.19509;
mean_shape(25, 3, 1) = 0.241312;
mean_shape(25, 3, 2) = -4.91202;
mean_shape(25, 3, 3) = 0.382683;
mean_shape(25, 4, 1) = 0.236783;
mean_shape(25, 4, 2) = -4.81984;
mean_shape(25, 4, 3) = 0.55557;
mean_shape(25, 5, 1) = 0.230689;
mean_shape(25, 5, 2) = -4.69577;
mean_shape(25, 5, 3) = 0.707107;
mean_shape(25, 6, 1) = 0.223262;
mean_shape(25, 6, 2) = -4.5446;
mean_shape(25, 6, 3) = 0.83147;
mean_shape(25, 7, 1) = 0.214789;
mean_shape(25, 7, 2) = -4.37213;
mean_shape(25, 7, 3) = 0.92388;
mean_shape(25, 8, 1) = 0.205595;
mean_shape(25, 8, 2) = -4.18499;
mean_shape(25, 8, 3) = 0.980785;
mean_shape(25, 9, 1) = 0.196034;
mean_shape(25, 9, 2) = -3.99037;
mean_shape(25, 9, 3) = 1;
mean_shape(25, 10, 1) = 0.186473;
mean_shape(25, 10, 2) = -3.79575;
mean_shape(25, 10, 3) = 0.980785;
mean_shape(25, 11, 1) = 0.17728;
mean_shape(25, 11, 2) = -3.60861;
mean_shape(25, 11, 3) = 0.92388;
mean_shape(25, 12, 1) = 0.168807;
mean_shape(25, 12, 2) = -3.43614;
mean_shape(25, 12, 3) = 0.83147;
mean_shape(25, 13, 1) = 0.16138;
mean_shape(25, 13, 2) = -3.28497;
mean_shape(25, 13, 3) = 0.707107;
mean_shape(25, 14, 1) = 0.155285;
mean_shape(25, 14, 2) = -3.1609;
mean_shape(25, 14, 3) = 0.55557;
mean_shape(25, 15, 1) = 0.150756;
mean_shape(25, 15, 2) = -3.06871;
mean_shape(25, 15, 3) = 0.382683;
mean_shape(25, 16, 1) = 0.147967;
mean_shape(25, 16, 2) = -3.01195;
mean_shape(25, 16, 3) = 0.19509;
mean_shape(25, 17, 1) = 0.147026;
mean_shape(25, 17, 2) = -2.99278;
mean_shape(25, 17, 3) = 1.22465e-016;
mean_shape(25, 18, 1) = 0.147967;
mean_shape(25, 18, 2) = -3.01195;
mean_shape(25, 18, 3) = -0.19509;
mean_shape(25, 19, 1) = 0.150756;
mean_shape(25, 19, 2) = -3.06871;
mean_shape(25, 19, 3) = -0.382683;
mean_shape(25, 20, 1) = 0.155285;
mean_shape(25, 20, 2) = -3.1609;
mean_shape(25, 20, 3) = -0.55557;
mean_shape(25, 21, 1) = 0.16138;
mean_shape(25, 21, 2) = -3.28497;
mean_shape(25, 21, 3) = -0.707107;
mean_shape(25, 22, 1) = 0.168807;
mean_shape(25, 22, 2) = -3.43614;
mean_shape(25, 22, 3) = -0.83147;
mean_shape(25, 23, 1) = 0.17728;
mean_shape(25, 23, 2) = -3.60861;
mean_shape(25, 23, 3) = -0.92388;
mean_shape(25, 24, 1) = 0.186473;
mean_shape(25, 24, 2) = -3.79575;
mean_shape(25, 24, 3) = -0.980785;
mean_shape(25, 25, 1) = 0.196034;
mean_shape(25, 25, 2) = -3.99037;
mean_shape(25, 25, 3) = -1;
mean_shape(25, 26, 1) = 0.205595;
mean_shape(25, 26, 2) = -4.18499;
mean_shape(25, 26, 3) = -0.980785;
mean_shape(25, 27, 1) = 0.214789;
mean_shape(25, 27, 2) = -4.37213;
mean_shape(25, 27, 3) = -0.92388;
mean_shape(25, 28, 1) = 0.223262;
mean_shape(25, 28, 2) = -4.5446;
mean_shape(25, 28, 3) = -0.83147;
mean_shape(25, 29, 1) = 0.230689;
mean_shape(25, 29, 2) = -4.69577;
mean_shape(25, 29, 3) = -0.707107;
mean_shape(25, 30, 1) = 0.236783;
mean_shape(25, 30, 2) = -4.81984;
mean_shape(25, 30, 3) = -0.55557;
mean_shape(25, 31, 1) = 0.241312;
mean_shape(25, 31, 2) = -4.91202;
mean_shape(25, 31, 3) = -0.382683;
mean_shape(25, 32, 1) = 0.244101;
mean_shape(25, 32, 2) = -4.96879;
mean_shape(25, 32, 3) = -0.19509;
mean_shape(26, 1, 1) = 1.21344;
mean_shape(26, 1, 2) = -4.84431;
mean_shape(26, 1, 3) = 0;
mean_shape(26, 2, 1) = 1.20877;
mean_shape(26, 2, 2) = -4.8257;
mean_shape(26, 2, 3) = 0.19509;
mean_shape(26, 3, 1) = 1.19496;
mean_shape(26, 3, 2) = -4.77056;
mean_shape(26, 3, 3) = 0.382683;
mean_shape(26, 4, 1) = 1.17254;
mean_shape(26, 4, 2) = -4.68103;
mean_shape(26, 4, 3) = 0.55557;
mean_shape(26, 5, 1) = 1.14236;
mean_shape(26, 5, 2) = -4.56054;
mean_shape(26, 5, 3) = 0.707107;
mean_shape(26, 6, 1) = 1.10558;
mean_shape(26, 6, 2) = -4.41372;
mean_shape(26, 6, 3) = 0.83147;
mean_shape(26, 7, 1) = 1.06362;
mean_shape(26, 7, 2) = -4.24622;
mean_shape(26, 7, 3) = 0.92388;
mean_shape(26, 8, 1) = 1.0181;
mean_shape(26, 8, 2) = -4.06447;
mean_shape(26, 8, 3) = 0.980785;
mean_shape(26, 9, 1) = 0.97075;
mean_shape(26, 9, 2) = -3.87545;
mean_shape(26, 9, 3) = 1;
mean_shape(26, 10, 1) = 0.923404;
mean_shape(26, 10, 2) = -3.68644;
mean_shape(26, 10, 3) = 0.980785;
mean_shape(26, 11, 1) = 0.877878;
mean_shape(26, 11, 2) = -3.50468;
mean_shape(26, 11, 3) = 0.92388;
mean_shape(26, 12, 1) = 0.83592;
mean_shape(26, 12, 2) = -3.33718;
mean_shape(26, 12, 3) = 0.83147;
mean_shape(26, 13, 1) = 0.799144;
mean_shape(26, 13, 2) = -3.19036;
mean_shape(26, 13, 3) = 0.707107;
mean_shape(26, 14, 1) = 0.768963;
mean_shape(26, 14, 2) = -3.06987;
mean_shape(26, 14, 3) = 0.55557;
mean_shape(26, 15, 1) = 0.746536;
mean_shape(26, 15, 2) = -2.98034;
mean_shape(26, 15, 3) = 0.382683;
mean_shape(26, 16, 1) = 0.732726;
mean_shape(26, 16, 2) = -2.9252;
mean_shape(26, 16, 3) = 0.19509;
mean_shape(26, 17, 1) = 0.728062;
mean_shape(26, 17, 2) = -2.90659;
mean_shape(26, 17, 3) = 1.22465e-016;
mean_shape(26, 18, 1) = 0.732726;
mean_shape(26, 18, 2) = -2.9252;
mean_shape(26, 18, 3) = -0.19509;
mean_shape(26, 19, 1) = 0.746536;
mean_shape(26, 19, 2) = -2.98034;
mean_shape(26, 19, 3) = -0.382683;
mean_shape(26, 20, 1) = 0.768963;
mean_shape(26, 20, 2) = -3.06987;
mean_shape(26, 20, 3) = -0.55557;
mean_shape(26, 21, 1) = 0.799144;
mean_shape(26, 21, 2) = -3.19036;
mean_shape(26, 21, 3) = -0.707107;
mean_shape(26, 22, 1) = 0.83592;
mean_shape(26, 22, 2) = -3.33718;
mean_shape(26, 22, 3) = -0.83147;
mean_shape(26, 23, 1) = 0.877878;
mean_shape(26, 23, 2) = -3.50468;
mean_shape(26, 23, 3) = -0.92388;
mean_shape(26, 24, 1) = 0.923404;
mean_shape(26, 24, 2) = -3.68644;
mean_shape(26, 24, 3) = -0.980785;
mean_shape(26, 25, 1) = 0.97075;
mean_shape(26, 25, 2) = -3.87545;
mean_shape(26, 25, 3) = -1;
mean_shape(26, 26, 1) = 1.0181;
mean_shape(26, 26, 2) = -4.06447;
mean_shape(26, 26, 3) = -0.980785;
mean_shape(26, 27, 1) = 1.06362;
mean_shape(26, 27, 2) = -4.24622;
mean_shape(26, 27, 3) = -0.92388;
mean_shape(26, 28, 1) = 1.10558;
mean_shape(26, 28, 2) = -4.41372;
mean_shape(26, 28, 3) = -0.83147;
mean_shape(26, 29, 1) = 1.14236;
mean_shape(26, 29, 2) = -4.56054;
mean_shape(26, 29, 3) = -0.707107;
mean_shape(26, 30, 1) = 1.17254;
mean_shape(26, 30, 2) = -4.68103;
mean_shape(26, 30, 3) = -0.55557;
mean_shape(26, 31, 1) = 1.19496;
mean_shape(26, 31, 2) = -4.77056;
mean_shape(26, 31, 3) = -0.382683;
mean_shape(26, 32, 1) = 1.20877;
mean_shape(26, 32, 2) = -4.8257;
mean_shape(26, 32, 3) = -0.19509;
mean_shape(27, 1, 1) = 2.1352;
mean_shape(27, 1, 2) = -4.5145;
mean_shape(27, 1, 3) = 0;
mean_shape(27, 2, 1) = 2.12699;
mean_shape(27, 2, 2) = -4.49715;
mean_shape(27, 2, 3) = 0.19509;
mean_shape(27, 3, 1) = 2.10269;
mean_shape(27, 3, 2) = -4.44577;
mean_shape(27, 3, 3) = 0.382683;
mean_shape(27, 4, 1) = 2.06323;
mean_shape(27, 4, 2) = -4.36234;
mean_shape(27, 4, 3) = 0.55557;
mean_shape(27, 5, 1) = 2.01012;
mean_shape(27, 5, 2) = -4.25005;
mean_shape(27, 5, 3) = 0.707107;
mean_shape(27, 6, 1) = 1.94541;
mean_shape(27, 6, 2) = -4.11323;
mean_shape(27, 6, 3) = 0.83147;
mean_shape(27, 7, 1) = 1.87158;
mean_shape(27, 7, 2) = -3.95713;
mean_shape(27, 7, 3) = 0.92388;
mean_shape(27, 8, 1) = 1.79147;
mean_shape(27, 8, 2) = -3.78775;
mean_shape(27, 8, 3) = 0.980785;
mean_shape(27, 9, 1) = 1.70816;
mean_shape(27, 9, 2) = -3.6116;
mean_shape(27, 9, 3) = 1;
mean_shape(27, 10, 1) = 1.62485;
mean_shape(27, 10, 2) = -3.43545;
mean_shape(27, 10, 3) = 0.980785;
mean_shape(27, 11, 1) = 1.54474;
mean_shape(27, 11, 2) = -3.26608;
mean_shape(27, 11, 3) = 0.92388;
mean_shape(27, 12, 1) = 1.47091;
mean_shape(27, 12, 2) = -3.10998;
mean_shape(27, 12, 3) = 0.83147;
mean_shape(27, 13, 1) = 1.4062;
mean_shape(27, 13, 2) = -2.97315;
mean_shape(27, 13, 3) = 0.707107;
mean_shape(27, 14, 1) = 1.35309;
mean_shape(27, 14, 2) = -2.86087;
mean_shape(27, 14, 3) = 0.55557;
mean_shape(27, 15, 1) = 1.31363;
mean_shape(27, 15, 2) = -2.77743;
mean_shape(27, 15, 3) = 0.382683;
mean_shape(27, 16, 1) = 1.28933;
mean_shape(27, 16, 2) = -2.72605;
mean_shape(27, 16, 3) = 0.19509;
mean_shape(27, 17, 1) = 1.28112;
mean_shape(27, 17, 2) = -2.7087;
mean_shape(27, 17, 3) = 1.22465e-016;
mean_shape(27, 18, 1) = 1.28933;
mean_shape(27, 18, 2) = -2.72605;
mean_shape(27, 18, 3) = -0.19509;
mean_shape(27, 19, 1) = 1.31363;
mean_shape(27, 19, 2) = -2.77743;
mean_shape(27, 19, 3) = -0.382683;
mean_shape(27, 20, 1) = 1.35309;
mean_shape(27, 20, 2) = -2.86087;
mean_shape(27, 20, 3) = -0.55557;
mean_shape(27, 21, 1) = 1.4062;
mean_shape(27, 21, 2) = -2.97315;
mean_shape(27, 21, 3) = -0.707107;
mean_shape(27, 22, 1) = 1.47091;
mean_shape(27, 22, 2) = -3.10998;
mean_shape(27, 22, 3) = -0.83147;
mean_shape(27, 23, 1) = 1.54474;
mean_shape(27, 23, 2) = -3.26608;
mean_shape(27, 23, 3) = -0.92388;
mean_shape(27, 24, 1) = 1.62485;
mean_shape(27, 24, 2) = -3.43545;
mean_shape(27, 24, 3) = -0.980785;
mean_shape(27, 25, 1) = 1.70816;
mean_shape(27, 25, 2) = -3.6116;
mean_shape(27, 25, 3) = -1;
mean_shape(27, 26, 1) = 1.79147;
mean_shape(27, 26, 2) = -3.78775;
mean_shape(27, 26, 3) = -0.980785;
mean_shape(27, 27, 1) = 1.87158;
mean_shape(27, 27, 2) = -3.95713;
mean_shape(27, 27, 3) = -0.92388;
mean_shape(27, 28, 1) = 1.94541;
mean_shape(27, 28, 2) = -4.11323;
mean_shape(27, 28, 3) = -0.83147;
mean_shape(27, 29, 1) = 2.01012;
mean_shape(27, 29, 2) = -4.25005;
mean_shape(27, 29, 3) = -0.707107;
mean_shape(27, 30, 1) = 2.06323;
mean_shape(27, 30, 2) = -4.36234;
mean_shape(27, 30, 3) = -0.55557;
mean_shape(27, 31, 1) = 2.10269;
mean_shape(27, 31, 2) = -4.44577;
mean_shape(27, 31, 3) = -0.382683;
mean_shape(27, 32, 1) = 2.12699;
mean_shape(27, 32, 2) = -4.49715;
mean_shape(27, 32, 3) = -0.19509;
mean_shape(28, 1, 1) = 2.97491;
mean_shape(28, 1, 2) = -4.0112;
mean_shape(28, 1, 3) = 0;
mean_shape(28, 2, 1) = 2.96348;
mean_shape(28, 2, 2) = -3.99579;
mean_shape(28, 2, 3) = 0.19509;
mean_shape(28, 3, 1) = 2.92962;
mean_shape(28, 3, 2) = -3.95013;
mean_shape(28, 3, 3) = 0.382683;
mean_shape(28, 4, 1) = 2.87464;
mean_shape(28, 4, 2) = -3.876;
mean_shape(28, 4, 3) = 0.55557;
mean_shape(28, 5, 1) = 2.80064;
mean_shape(28, 5, 2) = -3.77623;
mean_shape(28, 5, 3) = 0.707107;
mean_shape(28, 6, 1) = 2.71048;
mean_shape(28, 6, 2) = -3.65466;
mean_shape(28, 6, 3) = 0.83147;
mean_shape(28, 7, 1) = 2.60762;
mean_shape(28, 7, 2) = -3.51596;
mean_shape(28, 7, 3) = 0.92388;
mean_shape(28, 8, 1) = 2.496;
mean_shape(28, 8, 2) = -3.36547;
mean_shape(28, 8, 3) = 0.980785;
mean_shape(28, 9, 1) = 2.37993;
mean_shape(28, 9, 2) = -3.20896;
mean_shape(28, 9, 3) = 1;
mean_shape(28, 10, 1) = 2.26385;
mean_shape(28, 10, 2) = -3.05245;
mean_shape(28, 10, 3) = 0.980785;
mean_shape(28, 11, 1) = 2.15224;
mean_shape(28, 11, 2) = -2.90196;
mean_shape(28, 11, 3) = 0.92388;
mean_shape(28, 12, 1) = 2.04937;
mean_shape(28, 12, 2) = -2.76326;
mean_shape(28, 12, 3) = 0.83147;
mean_shape(28, 13, 1) = 1.95921;
mean_shape(28, 13, 2) = -2.64169;
mean_shape(28, 13, 3) = 0.707107;
mean_shape(28, 14, 1) = 1.88522;
mean_shape(28, 14, 2) = -2.54192;
mean_shape(28, 14, 3) = 0.55557;
mean_shape(28, 15, 1) = 1.83024;
mean_shape(28, 15, 2) = -2.46779;
mean_shape(28, 15, 3) = 0.382683;
mean_shape(28, 16, 1) = 1.79638;
mean_shape(28, 16, 2) = -2.42213;
mean_shape(28, 16, 3) = 0.19509;
mean_shape(28, 17, 1) = 1.78495;
mean_shape(28, 17, 2) = -2.40672;
mean_shape(28, 17, 3) = 1.22465e-016;
mean_shape(28, 18, 1) = 1.79638;
mean_shape(28, 18, 2) = -2.42213;
mean_shape(28, 18, 3) = -0.19509;
mean_shape(28, 19, 1) = 1.83024;
mean_shape(28, 19, 2) = -2.46779;
mean_shape(28, 19, 3) = -0.382683;
mean_shape(28, 20, 1) = 1.88522;
mean_shape(28, 20, 2) = -2.54192;
mean_shape(28, 20, 3) = -0.55557;
mean_shape(28, 21, 1) = 1.95921;
mean_shape(28, 21, 2) = -2.64169;
mean_shape(28, 21, 3) = -0.707107;
mean_shape(28, 22, 1) = 2.04937;
mean_shape(28, 22, 2) = -2.76326;
mean_shape(28, 22, 3) = -0.83147;
mean_shape(28, 23, 1) = 2.15224;
mean_shape(28, 23, 2) = -2.90196;
mean_shape(28, 23, 3) = -0.92388;
mean_shape(28, 24, 1) = 2.26385;
mean_shape(28, 24, 2) = -3.05245;
mean_shape(28, 24, 3) = -0.980785;
mean_shape(28, 25, 1) = 2.37993;
mean_shape(28, 25, 2) = -3.20896;
mean_shape(28, 25, 3) = -1;
mean_shape(28, 26, 1) = 2.496;
mean_shape(28, 26, 2) = -3.36547;
mean_shape(28, 26, 3) = -0.980785;
mean_shape(28, 27, 1) = 2.60762;
mean_shape(28, 27, 2) = -3.51596;
mean_shape(28, 27, 3) = -0.92388;
mean_shape(28, 28, 1) = 2.71048;
mean_shape(28, 28, 2) = -3.65466;
mean_shape(28, 28, 3) = -0.83147;
mean_shape(28, 29, 1) = 2.80064;
mean_shape(28, 29, 2) = -3.77623;
mean_shape(28, 29, 3) = -0.707107;
mean_shape(28, 30, 1) = 2.87464;
mean_shape(28, 30, 2) = -3.876;
mean_shape(28, 30, 3) = -0.55557;
mean_shape(28, 31, 1) = 2.92962;
mean_shape(28, 31, 2) = -3.95013;
mean_shape(28, 31, 3) = -0.382683;
mean_shape(28, 32, 1) = 2.96348;
mean_shape(28, 32, 2) = -3.99579;
mean_shape(28, 32, 3) = -0.19509;
mean_shape(29, 1, 1) = 3.70029;
mean_shape(29, 1, 2) = -3.35375;
mean_shape(29, 1, 3) = 0;
mean_shape(29, 2, 1) = 3.68607;
mean_shape(29, 2, 2) = -3.34086;
mean_shape(29, 2, 3) = 0.19509;
mean_shape(29, 3, 1) = 3.64396;
mean_shape(29, 3, 2) = -3.30269;
mean_shape(29, 3, 3) = 0.382683;
mean_shape(29, 4, 1) = 3.57557;
mean_shape(29, 4, 2) = -3.24071;
mean_shape(29, 4, 3) = 0.55557;
mean_shape(29, 5, 1) = 3.48353;
mean_shape(29, 5, 2) = -3.15729;
mean_shape(29, 5, 3) = 0.707107;
mean_shape(29, 6, 1) = 3.37139;
mean_shape(29, 6, 2) = -3.05565;
mean_shape(29, 6, 3) = 0.83147;
mean_shape(29, 7, 1) = 3.24344;
mean_shape(29, 7, 2) = -2.93969;
mean_shape(29, 7, 3) = 0.92388;
mean_shape(29, 8, 1) = 3.10461;
mean_shape(29, 8, 2) = -2.81386;
mean_shape(29, 8, 3) = 0.980785;
mean_shape(29, 9, 1) = 2.96023;
mean_shape(29, 9, 2) = -2.683;
mean_shape(29, 9, 3) = 1;
mean_shape(29, 10, 1) = 2.81586;
mean_shape(29, 10, 2) = -2.55214;
mean_shape(29, 10, 3) = 0.980785;
mean_shape(29, 11, 1) = 2.67703;
mean_shape(29, 11, 2) = -2.42632;
mean_shape(29, 11, 3) = 0.92388;
mean_shape(29, 12, 1) = 2.54908;
mean_shape(29, 12, 2) = -2.31035;
mean_shape(29, 12, 3) = 0.83147;
mean_shape(29, 13, 1) = 2.43693;
mean_shape(29, 13, 2) = -2.20871;
mean_shape(29, 13, 3) = 0.707107;
mean_shape(29, 14, 1) = 2.3449;
mean_shape(29, 14, 2) = -2.12529;
mean_shape(29, 14, 3) = 0.55557;
mean_shape(29, 15, 1) = 2.27651;
mean_shape(29, 15, 2) = -2.06331;
mean_shape(29, 15, 3) = 0.382683;
mean_shape(29, 16, 1) = 2.2344;
mean_shape(29, 16, 2) = -2.02514;
mean_shape(29, 16, 3) = 0.19509;
mean_shape(29, 17, 1) = 2.22018;
mean_shape(29, 17, 2) = -2.01225;
mean_shape(29, 17, 3) = 1.22465e-016;
mean_shape(29, 18, 1) = 2.2344;
mean_shape(29, 18, 2) = -2.02514;
mean_shape(29, 18, 3) = -0.19509;
mean_shape(29, 19, 1) = 2.27651;
mean_shape(29, 19, 2) = -2.06331;
mean_shape(29, 19, 3) = -0.382683;
mean_shape(29, 20, 1) = 2.3449;
mean_shape(29, 20, 2) = -2.12529;
mean_shape(29, 20, 3) = -0.55557;
mean_shape(29, 21, 1) = 2.43693;
mean_shape(29, 21, 2) = -2.20871;
mean_shape(29, 21, 3) = -0.707107;
mean_shape(29, 22, 1) = 2.54908;
mean_shape(29, 22, 2) = -2.31035;
mean_shape(29, 22, 3) = -0.83147;
mean_shape(29, 23, 1) = 2.67703;
mean_shape(29, 23, 2) = -2.42632;
mean_shape(29, 23, 3) = -0.92388;
mean_shape(29, 24, 1) = 2.81586;
mean_shape(29, 24, 2) = -2.55214;
mean_shape(29, 24, 3) = -0.980785;
mean_shape(29, 25, 1) = 2.96023;
mean_shape(29, 25, 2) = -2.683;
mean_shape(29, 25, 3) = -1;
mean_shape(29, 26, 1) = 3.10461;
mean_shape(29, 26, 2) = -2.81386;
mean_shape(29, 26, 3) = -0.980785;
mean_shape(29, 27, 1) = 3.24344;
mean_shape(29, 27, 2) = -2.93969;
mean_shape(29, 27, 3) = -0.92388;
mean_shape(29, 28, 1) = 3.37139;
mean_shape(29, 28, 2) = -3.05565;
mean_shape(29, 28, 3) = -0.83147;
mean_shape(29, 29, 1) = 3.48353;
mean_shape(29, 29, 2) = -3.15729;
mean_shape(29, 29, 3) = -0.707107;
mean_shape(29, 30, 1) = 3.57557;
mean_shape(29, 30, 2) = -3.24071;
mean_shape(29, 30, 3) = -0.55557;
mean_shape(29, 31, 1) = 3.64396;
mean_shape(29, 31, 2) = -3.30269;
mean_shape(29, 31, 3) = -0.382683;
mean_shape(29, 32, 1) = 3.68607;
mean_shape(29, 32, 2) = -3.34086;
mean_shape(29, 32, 3) = -0.19509;
mean_shape(30, 1, 1) = 4.28348;
mean_shape(30, 1, 2) = -2.56742;
mean_shape(30, 1, 3) = 0;
mean_shape(30, 2, 1) = 4.26702;
mean_shape(30, 2, 2) = -2.55755;
mean_shape(30, 2, 3) = 0.19509;
mean_shape(30, 3, 1) = 4.21827;
mean_shape(30, 3, 2) = -2.52833;
mean_shape(30, 3, 3) = 0.382683;
mean_shape(30, 4, 1) = 4.1391;
mean_shape(30, 4, 2) = -2.48088;
mean_shape(30, 4, 3) = 0.55557;
mean_shape(30, 5, 1) = 4.03256;
mean_shape(30, 5, 2) = -2.41702;
mean_shape(30, 5, 3) = 0.707107;
mean_shape(30, 6, 1) = 3.90274;
mean_shape(30, 6, 2) = -2.33921;
mean_shape(30, 6, 3) = 0.83147;
mean_shape(30, 7, 1) = 3.75462;
mean_shape(30, 7, 2) = -2.25044;
mean_shape(30, 7, 3) = 0.92388;
mean_shape(30, 8, 1) = 3.59391;
mean_shape(30, 8, 2) = -2.15411;
mean_shape(30, 8, 3) = 0.980785;
mean_shape(30, 9, 1) = 3.42678;
mean_shape(30, 9, 2) = -2.05393;
mean_shape(30, 9, 3) = 1;
mean_shape(30, 10, 1) = 3.25965;
mean_shape(30, 10, 2) = -1.95376;
mean_shape(30, 10, 3) = 0.980785;
mean_shape(30, 11, 1) = 3.09894;
mean_shape(30, 11, 2) = -1.85743;
mean_shape(30, 11, 3) = 0.92388;
mean_shape(30, 12, 1) = 2.95083;
mean_shape(30, 12, 2) = -1.76866;
mean_shape(30, 12, 3) = 0.83147;
mean_shape(30, 13, 1) = 2.82101;
mean_shape(30, 13, 2) = -1.69085;
mean_shape(30, 13, 3) = 0.707107;
mean_shape(30, 14, 1) = 2.71447;
mean_shape(30, 14, 2) = -1.62699;
mean_shape(30, 14, 3) = 0.55557;
mean_shape(30, 15, 1) = 2.6353;
mean_shape(30, 15, 2) = -1.57954;
mean_shape(30, 15, 3) = 0.382683;
mean_shape(30, 16, 1) = 2.58655;
mean_shape(30, 16, 2) = -1.55032;
mean_shape(30, 16, 3) = 0.19509;
mean_shape(30, 17, 1) = 2.57009;
mean_shape(30, 17, 2) = -1.54045;
mean_shape(30, 17, 3) = 1.22465e-016;
mean_shape(30, 18, 1) = 2.58655;
mean_shape(30, 18, 2) = -1.55032;
mean_shape(30, 18, 3) = -0.19509;
mean_shape(30, 19, 1) = 2.6353;
mean_shape(30, 19, 2) = -1.57954;
mean_shape(30, 19, 3) = -0.382683;
mean_shape(30, 20, 1) = 2.71447;
mean_shape(30, 20, 2) = -1.62699;
mean_shape(30, 20, 3) = -0.55557;
mean_shape(30, 21, 1) = 2.82101;
mean_shape(30, 21, 2) = -1.69085;
mean_shape(30, 21, 3) = -0.707107;
mean_shape(30, 22, 1) = 2.95083;
mean_shape(30, 22, 2) = -1.76866;
mean_shape(30, 22, 3) = -0.83147;
mean_shape(30, 23, 1) = 3.09894;
mean_shape(30, 23, 2) = -1.85743;
mean_shape(30, 23, 3) = -0.92388;
mean_shape(30, 24, 1) = 3.25965;
mean_shape(30, 24, 2) = -1.95376;
mean_shape(30, 24, 3) = -0.980785;
mean_shape(30, 25, 1) = 3.42678;
mean_shape(30, 25, 2) = -2.05393;
mean_shape(30, 25, 3) = -1;
mean_shape(30, 26, 1) = 3.59391;
mean_shape(30, 26, 2) = -2.15411;
mean_shape(30, 26, 3) = -0.980785;
mean_shape(30, 27, 1) = 3.75462;
mean_shape(30, 27, 2) = -2.25044;
mean_shape(30, 27, 3) = -0.92388;
mean_shape(30, 28, 1) = 3.90274;
mean_shape(30, 28, 2) = -2.33921;
mean_shape(30, 28, 3) = -0.83147;
mean_shape(30, 29, 1) = 4.03256;
mean_shape(30, 29, 2) = -2.41702;
mean_shape(30, 29, 3) = -0.707107;
mean_shape(30, 30, 1) = 4.1391;
mean_shape(30, 30, 2) = -2.48088;
mean_shape(30, 30, 3) = -0.55557;
mean_shape(30, 31, 1) = 4.21827;
mean_shape(30, 31, 2) = -2.52833;
mean_shape(30, 31, 3) = -0.382683;
mean_shape(30, 32, 1) = 4.26702;
mean_shape(30, 32, 2) = -2.55755;
mean_shape(30, 32, 3) = -0.19509;
mean_shape(31, 1, 1) = 4.70205;
mean_shape(31, 1, 2) = -1.68242;
mean_shape(31, 1, 3) = 0;
mean_shape(31, 2, 1) = 4.68398;
mean_shape(31, 2, 2) = -1.67595;
mean_shape(31, 2, 3) = 0.19509;
mean_shape(31, 3, 1) = 4.63047;
mean_shape(31, 3, 2) = -1.65681;
mean_shape(31, 3, 3) = 0.382683;
mean_shape(31, 4, 1) = 4.54356;
mean_shape(31, 4, 2) = -1.62571;
mean_shape(31, 4, 3) = 0.55557;
mean_shape(31, 5, 1) = 4.42661;
mean_shape(31, 5, 2) = -1.58387;
mean_shape(31, 5, 3) = 0.707107;
mean_shape(31, 6, 1) = 4.2841;
mean_shape(31, 6, 2) = -1.53288;
mean_shape(31, 6, 3) = 0.83147;
mean_shape(31, 7, 1) = 4.12152;
mean_shape(31, 7, 2) = -1.4747;
mean_shape(31, 7, 3) = 0.92388;
mean_shape(31, 8, 1) = 3.9451;
mean_shape(31, 8, 2) = -1.41158;
mean_shape(31, 8, 3) = 0.980785;
mean_shape(31, 9, 1) = 3.76164;
mean_shape(31, 9, 2) = -1.34594;
mean_shape(31, 9, 3) = 1;
mean_shape(31, 10, 1) = 3.57817;
mean_shape(31, 10, 2) = -1.28029;
mean_shape(31, 10, 3) = 0.980785;
mean_shape(31, 11, 1) = 3.40176;
mean_shape(31, 11, 2) = -1.21717;
mean_shape(31, 11, 3) = 0.92388;
mean_shape(31, 12, 1) = 3.23918;
mean_shape(31, 12, 2) = -1.159;
mean_shape(31, 12, 3) = 0.83147;
mean_shape(31, 13, 1) = 3.09667;
mean_shape(31, 13, 2) = -1.10801;
mean_shape(31, 13, 3) = 0.707107;
mean_shape(31, 14, 1) = 2.97972;
mean_shape(31, 14, 2) = -1.06616;
mean_shape(31, 14, 3) = 0.55557;
mean_shape(31, 15, 1) = 2.89281;
mean_shape(31, 15, 2) = -1.03507;
mean_shape(31, 15, 3) = 0.382683;
mean_shape(31, 16, 1) = 2.8393;
mean_shape(31, 16, 2) = -1.01592;
mean_shape(31, 16, 3) = 0.19509;
mean_shape(31, 17, 1) = 2.82123;
mean_shape(31, 17, 2) = -1.00945;
mean_shape(31, 17, 3) = 1.22465e-016;
mean_shape(31, 18, 1) = 2.8393;
mean_shape(31, 18, 2) = -1.01592;
mean_shape(31, 18, 3) = -0.19509;
mean_shape(31, 19, 1) = 2.89281;
mean_shape(31, 19, 2) = -1.03507;
mean_shape(31, 19, 3) = -0.382683;
mean_shape(31, 20, 1) = 2.97972;
mean_shape(31, 20, 2) = -1.06616;
mean_shape(31, 20, 3) = -0.55557;
mean_shape(31, 21, 1) = 3.09667;
mean_shape(31, 21, 2) = -1.10801;
mean_shape(31, 21, 3) = -0.707107;
mean_shape(31, 22, 1) = 3.23918;
mean_shape(31, 22, 2) = -1.159;
mean_shape(31, 22, 3) = -0.83147;
mean_shape(31, 23, 1) = 3.40176;
mean_shape(31, 23, 2) = -1.21717;
mean_shape(31, 23, 3) = -0.92388;
mean_shape(31, 24, 1) = 3.57817;
mean_shape(31, 24, 2) = -1.28029;
mean_shape(31, 24, 3) = -0.980785;
mean_shape(31, 25, 1) = 3.76164;
mean_shape(31, 25, 2) = -1.34594;
mean_shape(31, 25, 3) = -1;
mean_shape(31, 26, 1) = 3.9451;
mean_shape(31, 26, 2) = -1.41158;
mean_shape(31, 26, 3) = -0.980785;
mean_shape(31, 27, 1) = 4.12152;
mean_shape(31, 27, 2) = -1.4747;
mean_shape(31, 27, 3) = -0.92388;
mean_shape(31, 28, 1) = 4.2841;
mean_shape(31, 28, 2) = -1.53288;
mean_shape(31, 28, 3) = -0.83147;
mean_shape(31, 29, 1) = 4.42661;
mean_shape(31, 29, 2) = -1.58387;
mean_shape(31, 29, 3) = -0.707107;
mean_shape(31, 30, 1) = 4.54356;
mean_shape(31, 30, 2) = -1.62571;
mean_shape(31, 30, 3) = -0.55557;
mean_shape(31, 31, 1) = 4.63047;
mean_shape(31, 31, 2) = -1.65681;
mean_shape(31, 31, 3) = -0.382683;
mean_shape(31, 32, 1) = 4.68398;
mean_shape(31, 32, 2) = -1.67595;
mean_shape(31, 32, 3) = -0.19509;
mean_shape(32, 1, 1) = 4.93993;
mean_shape(32, 1, 2) = -0.732769;
mean_shape(32, 1, 3) = 0;
mean_shape(32, 2, 1) = 4.92094;
mean_shape(32, 2, 2) = -0.729953;
mean_shape(32, 2, 3) = 0.19509;
mean_shape(32, 3, 1) = 4.86472;
mean_shape(32, 3, 2) = -0.721613;
mean_shape(32, 3, 3) = 0.382683;
mean_shape(32, 4, 1) = 4.77342;
mean_shape(32, 4, 2) = -0.70807;
mean_shape(32, 4, 3) = 0.55557;
mean_shape(32, 5, 1) = 4.65055;
mean_shape(32, 5, 2) = -0.689844;
mean_shape(32, 5, 3) = 0.707107;
mean_shape(32, 6, 1) = 4.50084;
mean_shape(32, 6, 2) = -0.667636;
mean_shape(32, 6, 3) = 0.83147;
mean_shape(32, 7, 1) = 4.33003;
mean_shape(32, 7, 2) = -0.642299;
mean_shape(32, 7, 3) = 0.92388;
mean_shape(32, 8, 1) = 4.14469;
mean_shape(32, 8, 2) = -0.614806;
mean_shape(32, 8, 3) = 0.980785;
mean_shape(32, 9, 1) = 3.95194;
mean_shape(32, 9, 2) = -0.586215;
mean_shape(32, 9, 3) = 1;
mean_shape(32, 10, 1) = 3.75919;
mean_shape(32, 10, 2) = -0.557624;
mean_shape(32, 10, 3) = 0.980785;
mean_shape(32, 11, 1) = 3.57385;
mean_shape(32, 11, 2) = -0.530131;
mean_shape(32, 11, 3) = 0.92388;
mean_shape(32, 12, 1) = 3.40304;
mean_shape(32, 12, 2) = -0.504794;
mean_shape(32, 12, 3) = 0.83147;
mean_shape(32, 13, 1) = 3.25333;
mean_shape(32, 13, 2) = -0.482586;
mean_shape(32, 13, 3) = 0.707107;
mean_shape(32, 14, 1) = 3.13046;
mean_shape(32, 14, 2) = -0.46436;
mean_shape(32, 14, 3) = 0.55557;
mean_shape(32, 15, 1) = 3.03916;
mean_shape(32, 15, 2) = -0.450817;
mean_shape(32, 15, 3) = 0.382683;
mean_shape(32, 16, 1) = 2.98294;
mean_shape(32, 16, 2) = -0.442477;
mean_shape(32, 16, 3) = 0.19509;
mean_shape(32, 17, 1) = 2.96396;
mean_shape(32, 17, 2) = -0.439661;
mean_shape(32, 17, 3) = 1.22465e-016;
mean_shape(32, 18, 1) = 2.98294;
mean_shape(32, 18, 2) = -0.442477;
mean_shape(32, 18, 3) = -0.19509;
mean_shape(32, 19, 1) = 3.03916;
mean_shape(32, 19, 2) = -0.450817;
mean_shape(32, 19, 3) = -0.382683;
mean_shape(32, 20, 1) = 3.13046;
mean_shape(32, 20, 2) = -0.46436;
mean_shape(32, 20, 3) = -0.55557;
mean_shape(32, 21, 1) = 3.25333;
mean_shape(32, 21, 2) = -0.482586;
mean_shape(32, 21, 3) = -0.707107;
mean_shape(32, 22, 1) = 3.40304;
mean_shape(32, 22, 2) = -0.504794;
mean_shape(32, 22, 3) = -0.83147;
mean_shape(32, 23, 1) = 3.57385;
mean_shape(32, 23, 2) = -0.530131;
mean_shape(32, 23, 3) = -0.92388;
mean_shape(32, 24, 1) = 3.75919;
mean_shape(32, 24, 2) = -0.557624;
mean_shape(32, 24, 3) = -0.980785;
mean_shape(32, 25, 1) = 3.95194;
mean_shape(32, 25, 2) = -0.586215;
mean_shape(32, 25, 3) = -1;
mean_shape(32, 26, 1) = 4.14469;
mean_shape(32, 26, 2) = -0.614806;
mean_shape(32, 26, 3) = -0.980785;
mean_shape(32, 27, 1) = 4.33003;
mean_shape(32, 27, 2) = -0.642299;
mean_shape(32, 27, 3) = -0.92388;
mean_shape(32, 28, 1) = 4.50084;
mean_shape(32, 28, 2) = -0.667636;
mean_shape(32, 28, 3) = -0.83147;
mean_shape(32, 29, 1) = 4.65055;
mean_shape(32, 29, 2) = -0.689844;
mean_shape(32, 29, 3) = -0.707107;
mean_shape(32, 30, 1) = 4.77342;
mean_shape(32, 30, 2) = -0.70807;
mean_shape(32, 30, 3) = -0.55557;
mean_shape(32, 31, 1) = 4.86472;
mean_shape(32, 31, 2) = -0.721613;
mean_shape(32, 31, 3) = -0.382683;
mean_shape(32, 32, 1) = 4.92094;
mean_shape(32, 32, 2) = -0.729953;
mean_shape(32, 32, 3) = -0.19509;
int_area(1) = 1.14995;
int_area(2) = 1.23815;
int_area(3) = 2.61342;
int_area(4) = 4.63897;
int_area(5) = 7.08861;
int_area(6) = 9.72769;
int_area(7) = 12.3285;
int_area(8) = 14.6935;
int_area(9) = 16.6876;
int_area(10) = 18.2644;
int_area(11) = 19.4697;
int_area(12) = 20.3974;
int_area(13) = 21.1235;
int_area(14) = 21.6818;
int_area(15) = 22.0793;
int_area(16) = 22.317;
int_area(17) = 22.396;
int_area(18) = 22.317;
int_area(19) = 22.0793;
int_area(20) = 21.6818;
int_area(21) = 21.1235;
int_area(22) = 20.3974;
int_area(23) = 19.4697;
int_area(24) = 18.2644;
int_area(25) = 16.6876;
int_area(26) = 14.6935;
int_area(27) = 12.3285;
int_area(28) = 9.72769;
int_area(29) = 7.08861;
int_area(30) = 4.63897;
int_area(31) = 2.61342;
int_area(32) = 1.23815;
int_area(33) = 1.25092;
int_area(34) = 1.1453;
int_area(35) = 1.21033;
int_area(36) = 2.44991;
int_area(37) = 4.30551;
int_area(38) = 6.55269;
int_area(39) = 8.96453;
int_area(40) = 11.3351;
int_area(41) = 13.5014;
int_area(42) = 15.3703;
int_area(43) = 16.9296;
int_area(44) = 18.2261;
int_area(45) = 19.3185;
int_area(46) = 20.2436;
int_area(47) = 21.0146;
int_area(48) = 21.6341;
int_area(49) = 22.1022;
int_area(50) = 22.4181;
int_area(51) = 22.5797;
int_area(52) = 22.5829;
int_area(53) = 22.4261;
int_area(54) = 22.1095;
int_area(55) = 21.6127;
int_area(56) = 20.8571;
int_area(57) = 19.7051;
int_area(58) = 18.0443;
int_area(59) = 15.8638;
int_area(60) = 13.2606;
int_area(61) = 10.4128;
int_area(62) = 7.54862;
int_area(63) = 4.91197;
int_area(64) = 2.73921;
int_area(65) = 2.82117;
int_area(66) = 1.24738;
int_area(67) = 1.13156;
int_area(68) = 1.16993;
int_area(69) = 2.25695;
int_area(70) = 3.92894;
int_area(71) = 5.9715;
int_area(72) = 8.16836;
int_area(73) = 10.3377;
int_area(74) = 12.35;
int_area(75) = 14.1445;
int_area(76) = 15.722;
int_area(77) = 17.1142;
int_area(78) = 18.3513;
int_area(79) = 19.4492;
int_area(80) = 20.4126;
int_area(81) = 21.2421;
int_area(82) = 21.9369;
int_area(83) = 22.4934;
int_area(84) = 22.904;
int_area(85) = 23.1623;
int_area(86) = 23.2734;
int_area(87) = 23.2385;
int_area(88) = 22.9962;
int_area(89) = 22.377;
int_area(90) = 21.1909;
int_area(91) = 19.3617;
int_area(92) = 16.9395;
int_area(93) = 14.0729;
int_area(94) = 10.9779;
int_area(95) = 7.90615;
int_area(96) = 5.11033;
int_area(97) = 5.22425;
int_area(98) = 2.85594;
int_area(99) = 1.22742;
int_area(100) = 1.10938;
int_area(101) = 1.12041;
int_area(102) = 2.04429;
int_area(103) = 3.52827;
int_area(104) = 5.3776;
int_area(105) = 7.38327;
int_area(106) = 9.38571;
int_area(107) = 11.2838;
int_area(108) = 13.0359;
int_area(109) = 14.6428;
int_area(110) = 16.1204;
int_area(111) = 17.4819;
int_area(112) = 18.7337;
int_area(113) = 19.878;
int_area(114) = 20.915;
int_area(115) = 21.8409;
int_area(116) = 22.6448;
int_area(117) = 23.3124;
int_area(118) = 23.8458;
int_area(119) = 24.2718;
int_area(120) = 24.5677;
int_area(121) = 24.5568;
int_area(122) = 23.9581;
int_area(123) = 22.6221;
int_area(124) = 20.5489;
int_area(125) = 17.8484;
int_area(126) = 14.7128;
int_area(127) = 11.3882;
int_area(128) = 8.14089;
int_area(129) = 8.24051;
int_area(130) = 5.24932;
int_area(131) = 2.84325;
int_area(132) = 1.19214;
int_area(133) = 1.07975;
int_area(134) = 1.06604;
int_area(135) = 1.82259;
int_area(136) = 3.1234;
int_area(137) = 4.80431;
int_area(138) = 6.64887;
int_area(139) = 8.51667;
int_area(140) = 10.3285;
int_area(141) = 12.0532;
int_area(142) = 13.6875;
int_area(143) = 15.2375;
int_area(144) = 16.7089;
int_area(145) = 18.1059;
int_area(146) = 19.4309;
int_area(147) = 20.6818;
int_area(148) = 21.846;
int_area(149) = 22.8999;
int_area(150) = 23.8319;
int_area(151) = 24.6898;
int_area(152) = 25.5054;
int_area(153) = 26.1431;
int_area(154) = 26.2078;
int_area(155) = 25.4718;
int_area(156) = 23.8873;
int_area(157) = 21.5202;
int_area(158) = 18.5285;
int_area(159) = 15.1391;
int_area(160) = 11.619;
int_area(161) = 11.6579;
int_area(162) = 8.20165;
int_area(163) = 5.18685;
int_area(164) = 2.78587;
int_area(165) = 1.14368;
int_area(166) = 1.044;
int_area(167) = 1.0113;
int_area(168) = 1.60412;
int_area(169) = 2.73714;
int_area(170) = 4.28553;
int_area(171) = 5.99748;
int_area(172) = 7.75457;
int_area(173) = 9.49597;
int_area(174) = 11.1973;
int_area(175) = 12.8536;
int_area(176) = 14.4678;
int_area(177) = 16.0452;
int_area(178) = 17.5916;
int_area(179) = 19.108;
int_area(180) = 20.5826;
int_area(181) = 21.9857;
int_area(182) = 23.2824;
int_area(183) = 24.5224;
int_area(184) = 25.7997;
int_area(185) = 27.0891;
int_area(186) = 27.851;
int_area(187) = 27.7789;
int_area(188) = 26.7851;
int_area(189) = 24.8895;
int_area(190) = 22.2073;
int_area(191) = 18.9348;
int_area(192) = 15.3255;
int_area(193) = 15.2628;
int_area(194) = 11.5056;
int_area(195) = 8.03005;
int_area(196) = 5.04365;
int_area(197) = 2.68936;
int_area(198) = 1.08516;
int_area(199) = 1.00363;
int_area(200) = 0.960007;
int_area(201) = 1.41211;
int_area(202) = 2.40744;
int_area(203) = 3.85366;
int_area(204) = 5.45055;
int_area(205) = 7.11054;
int_area(206) = 8.78899;
int_area(207) = 10.4681;
int_area(208) = 12.1454;
int_area(209) = 13.8265;
int_area(210) = 15.5202;
int_area(211) = 17.2322;
int_area(212) = 18.9548;
int_area(213) = 20.6569;
int_area(214) = 22.2841;
int_area(215) = 23.8385;
int_area(216) = 25.5309;
int_area(217) = 27.4129;
int_area(218) = 28.8533;
int_area(219) = 29.4609;
int_area(220) = 29.117;
int_area(221) = 27.7936;
int_area(222) = 25.5576;
int_area(223) = 22.565;
int_area(224) = 19.0431;
int_area(225) = 18.8502;
int_area(226) = 14.9588;
int_area(227) = 11.1755;
int_area(228) = 7.73967;
int_area(229) = 4.83121;
int_area(230) = 2.56146;
int_area(231) = 1.0211;
int_area(232) = 0.960305;
int_area(233) = 0.914174;
int_area(234) = 1.3019;
int_area(235) = 2.19189;
int_area(236) = 3.52793;
int_area(237) = 5.01456;
int_area(238) = 6.58476;
int_area(239) = 8.20646;
int_area(240) = 9.86962;
int_area(241) = 11.5782;
int_area(242) = 13.3436;
int_area(243) = 15.1766;
int_area(244) = 17.0759;
int_area(245) = 19.0153;
int_area(246) = 20.9366;
int_area(247) = 22.7555;
int_area(248) = 24.9034;
int_area(249) = 27.2061;
int_area(250) = 29.2307;
int_area(251) = 30.4872;
int_area(252) = 30.809;
int_area(253) = 30.1178;
int_area(254) = 28.4287;
int_area(255) = 25.8505;
int_area(256) = 22.5741;
int_area(257) = 22.2407;
int_area(258) = 18.3737;
int_area(259) = 14.4369;
int_area(260) = 10.6914;
int_area(261) = 7.35114;
int_area(262) = 4.56454;
int_area(263) = 2.41139;
int_area(264) = 0.9604;
int_area(265) = 0.915709;
int_area(266) = 0.873793;
int_area(267) = 1.26049;
int_area(268) = 2.08889;
int_area(269) = 3.30018;
int_area(270) = 4.68106;
int_area(271) = 6.17139;
int_area(272) = 7.74933;
int_area(273) = 9.41454;
int_area(274) = 11.1795;
int_area(275) = 13.0597;
int_area(276) = 15.0611;
int_area(277) = 17.1667;
int_area(278) = 19.3291;
int_area(279) = 21.4857;
int_area(280) = 23.9186;
int_area(281) = 26.5664;
int_area(282) = 29.037;
int_area(283) = 30.8741;
int_area(284) = 31.8388;
int_area(285) = 31.8001;
int_area(286) = 30.7203;
int_area(287) = 28.657;
int_area(288) = 25.7572;
int_area(289) = 25.2942;
int_area(290) = 21.5933;
int_area(291) = 17.6487;
int_area(292) = 13.7328;
int_area(293) = 10.0855;
int_area(294) = 6.88956;
int_area(295) = 4.26064;
int_area(296) = 2.24904;
int_area(297) = 0.916982;
int_area(298) = 0.871527;
int_area(299) = 0.837916;
int_area(300) = 1.24897;
int_area(301) = 2.03353;
int_area(302) = 3.14322;
int_area(303) = 4.43571;
int_area(304) = 5.86653;
int_area(305) = 7.42652;
int_area(306) = 9.12655;
int_area(307) = 10.9855;
int_area(308) = 13.0164;
int_area(309) = 15.213;
int_area(310) = 17.5432;
int_area(311) = 19.9734;
int_area(312) = 22.6305;
int_area(313) = 25.5327;
int_area(314) = 28.3461;
int_area(315) = 30.6755;
int_area(316) = 32.2306;
int_area(317) = 32.8304;
int_area(318) = 32.3857;
int_area(319) = 30.9018;
int_area(320) = 28.4776;
int_area(321) = 27.918;
int_area(322) = 24.5014;
int_area(323) = 20.6788;
int_area(324) = 16.7232;
int_area(325) = 12.8911;
int_area(326) = 9.3944;
int_area(327) = 6.3821;
int_area(328) = 3.93699;
int_area(329) = 2.08419;
int_area(330) = 0.883593;
int_area(331) = 0.829379;
int_area(332) = 0.805929;
int_area(333) = 1.25244;
int_area(334) = 1.99399;
int_area(335) = 3.03686;
int_area(336) = 4.27096;
int_area(337) = 5.67559;
int_area(338) = 7.25704;
int_area(339) = 9.03546;
int_area(340) = 11.0298;
int_area(341) = 13.244;
int_area(342) = 15.6608;
int_area(343) = 18.2596;
int_area(344) = 21.0905;
int_area(345) = 24.1664;
int_area(346) = 27.2415;
int_area(347) = 29.9706;
int_area(348) = 32.045;
int_area(349) = 33.2427;
int_area(350) = 33.4275;
int_area(351) = 32.5542;
int_area(352) = 30.672;
int_area(353) = 30.0676;
int_area(354) = 27.0274;
int_area(355) = 23.4356;
int_area(356) = 19.556;
int_area(357) = 15.6529;
int_area(358) = 11.9601;
int_area(359) = 8.65638;
int_area(360) = 5.85558;
int_area(361) = 3.61016;
int_area(362) = 1.92567;
int_area(363) = 0.850983;
int_area(364) = 0.79078;
int_area(365) = 0.778017;
int_area(366) = 1.25855;
int_area(367) = 1.97437;
int_area(368) = 2.97906;
int_area(369) = 4.19209;
int_area(370) = 5.61375;
int_area(371) = 7.26363;
int_area(372) = 9.16517;
int_area(373) = 11.3313;
int_area(374) = 13.7572;
int_area(375) = 16.4299;
int_area(376) = 19.363;
int_area(377) = 22.5494;
int_area(378) = 25.8112;
int_area(379) = 28.852;
int_area(380) = 31.3662;
int_area(381) = 33.1038;
int_area(382) = 33.8887;
int_area(383) = 33.6292;
int_area(384) = 32.3253;
int_area(385) = 31.7413;
int_area(386) = 29.144;
int_area(387) = 25.8693;
int_area(388) = 22.1633;
int_area(389) = 18.2895;
int_area(390) = 14.4962;
int_area(391) = 10.988;
int_area(392) = 7.90767;
int_area(393) = 5.33445;
int_area(394) = 3.29474;
int_area(395) = 1.78055;
int_area(396) = 0.818854;
int_area(397) = 0.757106;
int_area(398) = 0.754976;
int_area(399) = 1.26668;
int_area(400) = 1.98456;
int_area(401) = 2.97924;
int_area(402) = 4.21185;
int_area(403) = 5.69689;
int_area(404) = 7.46067;
int_area(405) = 9.52385;
int_area(406) = 11.8921;
int_area(407) = 14.559;
int_area(408) = 17.5223;
int_area(409) = 20.7612;
int_area(410) = 24.1416;
int_area(411) = 27.4138;
int_area(412) = 30.2879;
int_area(413) = 32.4988;
int_area(414) = 33.839;
int_area(415) = 34.1755;
int_area(416) = 33.4615;
int_area(417) = 32.9682;
int_area(418) = 30.8587;
int_area(419) = 27.9662;
int_area(420) = 24.513;
int_area(421) = 20.7537;
int_area(422) = 16.9439;
int_area(423) = 13.309;
int_area(424) = 10.0193;
int_area(425) = 7.18017;
int_area(426) = 4.83934;
int_area(427) = 3.00268;
int_area(428) = 1.6533;
int_area(429) = 0.788951;
int_area(430) = 0.729561;
int_area(431) = 0.737851;
int_area(432) = 1.28023;
int_area(433) = 2.02575;
int_area(434) = 3.0454;
int_area(435) = 4.33912;
int_area(436) = 5.93122;
int_area(437) = 7.84818;
int_area(438) = 10.1048;
int_area(439) = 12.7018;
int_area(440) = 15.6324;
int_area(441) = 18.8696;
int_area(442) = 22.3087;
int_area(443) = 25.7414;
int_area(444) = 28.9004;
int_area(445) = 31.5168;
int_area(446) = 33.3597;
int_area(447) = 34.2609;
int_area(448) = 34.1309;
int_area(449) = 33.7944;
int_area(450) = 32.201;
int_area(451) = 29.7386;
int_area(452) = 26.6008;
int_area(453) = 23.0266;
int_area(454) = 19.2723;
int_area(455) = 15.5788;
int_area(456) = 12.1415;
int_area(457) = 9.09223;
int_area(458) = 6.49994;
int_area(459) = 4.38644;
int_area(460) = 2.743;
int_area(461) = 1.54581;
int_area(462) = 0.763199;
int_area(463) = 0.709135;
int_area(464) = 0.727625;
int_area(465) = 1.30306;
int_area(466) = 2.09689;
int_area(467) = 3.1792;
int_area(468) = 4.57472;
int_area(469) = 6.31278;
int_area(470) = 8.41587;
int_area(471) = 10.8926;
int_area(472) = 13.738;
int_area(473) = 16.9257;
int_area(474) = 20.3717;
int_area(475) = 23.9036;
int_area(476) = 27.2803;
int_area(477) = 30.2373;
int_area(478) = 32.5286;
int_area(479) = 33.9568;
int_area(480) = 34.3938;
int_area(481) = 34.2669;
int_area(482) = 33.2069;
int_area(483) = 31.2105;
int_area(484) = 28.4383;
int_area(485) = 25.1087;
int_area(486) = 21.4718;
int_area(487) = 17.7787;
int_area(488) = 14.2474;
int_area(489) = 11.0367;
int_area(490) = 8.23747;
int_area(491) = 5.88681;
int_area(492) = 3.98762;
int_area(493) = 2.52159;
int_area(494) = 1.4582;
int_area(495) = 0.743237;
int_area(496) = 0.696572;
int_area(497) = 0.725001;
int_area(498) = 1.3386;
int_area(499) = 2.20057;
int_area(500) = 3.38092;
int_area(501) = 4.91523;
int_area(502) = 6.83232;
int_area(503) = 9.14894;
int_area(504) = 11.866;
int_area(505) = 14.9621;
int_area(506) = 18.37;
int_area(507) = 21.9484;
int_area(508) = 25.4833;
int_area(509) = 28.7213;
int_area(510) = 31.4085;
int_area(511) = 33.3241;
int_area(512) = 34.3057;
int_area(513) = 34.4202;
int_area(514) = 33.9052;
int_area(515) = 32.4034;
int_area(516) = 30.0397;
int_area(517) = 27.0067;
int_area(518) = 23.5426;
int_area(519) = 19.903;
int_area(520) = 16.3255;
int_area(521) = 12.9962;
int_area(522) = 10.0298;
int_area(523) = 7.47838;
int_area(524) = 5.35513;
int_area(525) = 3.65091;
int_area(526) = 2.34103;
int_area(527) = 1.38962;
int_area(528) = 0.73027;
int_area(529) = 0.692332;
int_area(530) = 0.73027;
int_area(531) = 1.38962;
int_area(532) = 2.34103;
int_area(533) = 3.65091;
int_area(534) = 5.35513;
int_area(535) = 7.47838;
int_area(536) = 10.0298;
int_area(537) = 12.9962;
int_area(538) = 16.3255;
int_area(539) = 19.903;
int_area(540) = 23.5426;
int_area(541) = 27.0067;
int_area(542) = 30.0397;
int_area(543) = 32.4034;
int_area(544) = 33.9052;
int_area(545) = 34.2669;
int_area(546) = 34.3057;
int_area(547) = 33.3241;
int_area(548) = 31.4085;
int_area(549) = 28.7213;
int_area(550) = 25.4833;
int_area(551) = 21.9484;
int_area(552) = 18.37;
int_area(553) = 14.9621;
int_area(554) = 11.866;
int_area(555) = 9.14894;
int_area(556) = 6.83232;
int_area(557) = 4.91523;
int_area(558) = 3.38092;
int_area(559) = 2.20057;
int_area(560) = 1.3386;
int_area(561) = 0.725001;
int_area(562) = 0.696572;
int_area(563) = 0.743237;
int_area(564) = 1.4582;
int_area(565) = 2.52159;
int_area(566) = 3.98762;
int_area(567) = 5.88681;
int_area(568) = 8.23747;
int_area(569) = 11.0367;
int_area(570) = 14.2474;
int_area(571) = 17.7787;
int_area(572) = 21.4718;
int_area(573) = 25.1087;
int_area(574) = 28.4383;
int_area(575) = 31.2105;
int_area(576) = 33.2069;
int_area(577) = 33.7944;
int_area(578) = 34.3938;
int_area(579) = 33.9568;
int_area(580) = 32.5286;
int_area(581) = 30.2373;
int_area(582) = 27.2803;
int_area(583) = 23.9036;
int_area(584) = 20.3717;
int_area(585) = 16.9257;
int_area(586) = 13.738;
int_area(587) = 10.8926;
int_area(588) = 8.41587;
int_area(589) = 6.31278;
int_area(590) = 4.57472;
int_area(591) = 3.1792;
int_area(592) = 2.09689;
int_area(593) = 1.30306;
int_area(594) = 0.727625;
int_area(595) = 0.709135;
int_area(596) = 0.763199;
int_area(597) = 1.54581;
int_area(598) = 2.743;
int_area(599) = 4.38644;
int_area(600) = 6.49994;
int_area(601) = 9.09223;
int_area(602) = 12.1415;
int_area(603) = 15.5788;
int_area(604) = 19.2723;
int_area(605) = 23.0266;
int_area(606) = 26.6008;
int_area(607) = 29.7386;
int_area(608) = 32.201;
int_area(609) = 32.9682;
int_area(610) = 34.1309;
int_area(611) = 34.2609;
int_area(612) = 33.3597;
int_area(613) = 31.5168;
int_area(614) = 28.9004;
int_area(615) = 25.7414;
int_area(616) = 22.3087;
int_area(617) = 18.8696;
int_area(618) = 15.6324;
int_area(619) = 12.7018;
int_area(620) = 10.1048;
int_area(621) = 7.84818;
int_area(622) = 5.93122;
int_area(623) = 4.33912;
int_area(624) = 3.0454;
int_area(625) = 2.02575;
int_area(626) = 1.28023;
int_area(627) = 0.737851;
int_area(628) = 0.729561;
int_area(629) = 0.788951;
int_area(630) = 1.6533;
int_area(631) = 3.00268;
int_area(632) = 4.83934;
int_area(633) = 7.18017;
int_area(634) = 10.0193;
int_area(635) = 13.309;
int_area(636) = 16.9439;
int_area(637) = 20.7537;
int_area(638) = 24.513;
int_area(639) = 27.9662;
int_area(640) = 30.8587;
int_area(641) = 31.7413;
int_area(642) = 33.4615;
int_area(643) = 34.1755;
int_area(644) = 33.839;
int_area(645) = 32.4988;
int_area(646) = 30.2879;
int_area(647) = 27.4138;
int_area(648) = 24.1416;
int_area(649) = 20.7612;
int_area(650) = 17.5223;
int_area(651) = 14.559;
int_area(652) = 11.8921;
int_area(653) = 9.52385;
int_area(654) = 7.46067;
int_area(655) = 5.69689;
int_area(656) = 4.21185;
int_area(657) = 2.97924;
int_area(658) = 1.98456;
int_area(659) = 1.26668;
int_area(660) = 0.754976;
int_area(661) = 0.757106;
int_area(662) = 0.818854;
int_area(663) = 1.78055;
int_area(664) = 3.29474;
int_area(665) = 5.33445;
int_area(666) = 7.90767;
int_area(667) = 10.988;
int_area(668) = 14.4962;
int_area(669) = 18.2895;
int_area(670) = 22.1633;
int_area(671) = 25.8693;
int_area(672) = 29.144;
int_area(673) = 30.0676;
int_area(674) = 32.3253;
int_area(675) = 33.6292;
int_area(676) = 33.8887;
int_area(677) = 33.1038;
int_area(678) = 31.3662;
int_area(679) = 28.852;
int_area(680) = 25.8112;
int_area(681) = 22.5494;
int_area(682) = 19.363;
int_area(683) = 16.4299;
int_area(684) = 13.7572;
int_area(685) = 11.3313;
int_area(686) = 9.16517;
int_area(687) = 7.26363;
int_area(688) = 5.61375;
int_area(689) = 4.19209;
int_area(690) = 2.97906;
int_area(691) = 1.97437;
int_area(692) = 1.25855;
int_area(693) = 0.778017;
int_area(694) = 0.79078;
int_area(695) = 0.850983;
int_area(696) = 1.92567;
int_area(697) = 3.61016;
int_area(698) = 5.85558;
int_area(699) = 8.65638;
int_area(700) = 11.9601;
int_area(701) = 15.6529;
int_area(702) = 19.556;
int_area(703) = 23.4356;
int_area(704) = 27.0274;
int_area(705) = 27.918;
int_area(706) = 30.672;
int_area(707) = 32.5542;
int_area(708) = 33.4275;
int_area(709) = 33.2427;
int_area(710) = 32.045;
int_area(711) = 29.9706;
int_area(712) = 27.2415;
int_area(713) = 24.1664;
int_area(714) = 21.0905;
int_area(715) = 18.2596;
int_area(716) = 15.6608;
int_area(717) = 13.244;
int_area(718) = 11.0298;
int_area(719) = 9.03546;
int_area(720) = 7.25704;
int_area(721) = 5.67559;
int_area(722) = 4.27096;
int_area(723) = 3.03686;
int_area(724) = 1.99399;
int_area(725) = 1.25244;
int_area(726) = 0.805929;
int_area(727) = 0.829379;
int_area(728) = 0.883593;
int_area(729) = 2.08419;
int_area(730) = 3.93699;
int_area(731) = 6.3821;
int_area(732) = 9.3944;
int_area(733) = 12.8911;
int_area(734) = 16.7232;
int_area(735) = 20.6788;
int_area(736) = 24.5014;
int_area(737) = 25.2942;
int_area(738) = 28.4776;
int_area(739) = 30.9018;
int_area(740) = 32.3857;
int_area(741) = 32.8304;
int_area(742) = 32.2306;
int_area(743) = 30.6755;
int_area(744) = 28.3461;
int_area(745) = 25.5327;
int_area(746) = 22.6305;
int_area(747) = 19.9734;
int_area(748) = 17.5432;
int_area(749) = 15.213;
int_area(750) = 13.0164;
int_area(751) = 10.9855;
int_area(752) = 9.12655;
int_area(753) = 7.42652;
int_area(754) = 5.86653;
int_area(755) = 4.43571;
int_area(756) = 3.14322;
int_area(757) = 2.03353;
int_area(758) = 1.24897;
int_area(759) = 0.837916;
int_area(760) = 0.871527;
int_area(761) = 0.916982;
int_area(762) = 2.24904;
int_area(763) = 4.26064;
int_area(764) = 6.88956;
int_area(765) = 10.0855;
int_area(766) = 13.7328;
int_area(767) = 17.6487;
int_area(768) = 21.5933;
int_area(769) = 22.2407;
int_area(770) = 25.7572;
int_area(771) = 28.657;
int_area(772) = 30.7203;
int_area(773) = 31.8001;
int_area(774) = 31.8388;
int_area(775) = 30.8741;
int_area(776) = 29.037;
int_area(777) = 26.5664;
int_area(778) = 23.9186;
int_area(779) = 21.4857;
int_area(780) = 19.3291;
int_area(781) = 17.1667;
int_area(782) = 15.0611;
int_area(783) = 13.0597;
int_area(784) = 11.1795;
int_area(785) = 9.41454;
int_area(786) = 7.74933;
int_area(787) = 6.17139;
int_area(788) = 4.68106;
int_area(789) = 3.30018;
int_area(790) = 2.08889;
int_area(791) = 1.26049;
int_area(792) = 0.873793;
int_area(793) = 0.915709;
int_area(794) = 0.9604;
int_area(795) = 2.41139;
int_area(796) = 4.56454;
int_area(797) = 7.35114;
int_area(798) = 10.6914;
int_area(799) = 14.4369;
int_area(800) = 18.3737;
int_area(801) = 18.8502;
int_area(802) = 22.5741;
int_area(803) = 25.8505;
int_area(804) = 28.4287;
int_area(805) = 30.1178;
int_area(806) = 30.809;
int_area(807) = 30.4872;
int_area(808) = 29.2307;
int_area(809) = 27.2061;
int_area(810) = 24.9034;
int_area(811) = 22.7555;
int_area(812) = 20.9366;
int_area(813) = 19.0153;
int_area(814) = 17.0759;
int_area(815) = 15.1766;
int_area(816) = 13.3436;
int_area(817) = 11.5782;
int_area(818) = 9.86962;
int_area(819) = 8.20646;
int_area(820) = 6.58476;
int_area(821) = 5.01456;
int_area(822) = 3.52793;
int_area(823) = 2.19189;
int_area(824) = 1.3019;
int_area(825) = 0.914174;
int_area(826) = 0.960305;
int_area(827) = 1.0211;
int_area(828) = 2.56146;
int_area(829) = 4.83121;
int_area(830) = 7.73967;
int_area(831) = 11.1755;
int_area(832) = 14.9588;
int_area(833) = 15.2628;
int_area(834) = 19.0431;
int_area(835) = 22.565;
int_area(836) = 25.5576;
int_area(837) = 27.7936;
int_area(838) = 29.117;
int_area(839) = 29.4609;
int_area(840) = 28.8533;
int_area(841) = 27.4129;
int_area(842) = 25.5309;
int_area(843) = 23.8385;
int_area(844) = 22.2841;
int_area(845) = 20.6569;
int_area(846) = 18.9548;
int_area(847) = 17.2322;
int_area(848) = 15.5202;
int_area(849) = 13.8265;
int_area(850) = 12.1454;
int_area(851) = 10.4681;
int_area(852) = 8.78899;
int_area(853) = 7.11054;
int_area(854) = 5.45055;
int_area(855) = 3.85366;
int_area(856) = 2.40744;
int_area(857) = 1.41211;
int_area(858) = 0.960007;
int_area(859) = 1.00363;
int_area(860) = 1.08516;
int_area(861) = 2.68936;
int_area(862) = 5.04365;
int_area(863) = 8.03005;
int_area(864) = 11.5056;
int_area(865) = 11.6579;
int_area(866) = 15.3255;
int_area(867) = 18.9348;
int_area(868) = 22.2073;
int_area(869) = 24.8895;
int_area(870) = 26.7851;
int_area(871) = 27.7789;
int_area(872) = 27.851;
int_area(873) = 27.0891;
int_area(874) = 25.7997;
int_area(875) = 24.5224;
int_area(876) = 23.2824;
int_area(877) = 21.9857;
int_area(878) = 20.5826;
int_area(879) = 19.108;
int_area(880) = 17.5916;
int_area(881) = 16.0452;
int_area(882) = 14.4678;
int_area(883) = 12.8536;
int_area(884) = 11.1973;
int_area(885) = 9.49597;
int_area(886) = 7.75457;
int_area(887) = 5.99748;
int_area(888) = 4.28553;
int_area(889) = 2.73714;
int_area(890) = 1.60412;
int_area(891) = 1.0113;
int_area(892) = 1.044;
int_area(893) = 1.14368;
int_area(894) = 2.78587;
int_area(895) = 5.18685;
int_area(896) = 8.20165;
int_area(897) = 8.24051;
int_area(898) = 11.619;
int_area(899) = 15.1391;
int_area(900) = 18.5285;
int_area(901) = 21.5202;
int_area(902) = 23.8873;
int_area(903) = 25.4718;
int_area(904) = 26.2078;
int_area(905) = 26.1431;
int_area(906) = 25.5054;
int_area(907) = 24.6898;
int_area(908) = 23.8319;
int_area(909) = 22.8999;
int_area(910) = 21.846;
int_area(911) = 20.6818;
int_area(912) = 19.4309;
int_area(913) = 18.1059;
int_area(914) = 16.7089;
int_area(915) = 15.2375;
int_area(916) = 13.6875;
int_area(917) = 12.0532;
int_area(918) = 10.3285;
int_area(919) = 8.51667;
int_area(920) = 6.64887;
int_area(921) = 4.80431;
int_area(922) = 3.1234;
int_area(923) = 1.82259;
int_area(924) = 1.06604;
int_area(925) = 1.07975;
int_area(926) = 1.19214;
int_area(927) = 2.84325;
int_area(928) = 5.24932;
int_area(929) = 5.22425;
int_area(930) = 8.14089;
int_area(931) = 11.3882;
int_area(932) = 14.7128;
int_area(933) = 17.8484;
int_area(934) = 20.5489;
int_area(935) = 22.6221;
int_area(936) = 23.9581;
int_area(937) = 24.5568;
int_area(938) = 24.5677;
int_area(939) = 24.2718;
int_area(940) = 23.8458;
int_area(941) = 23.3124;
int_area(942) = 22.6448;
int_area(943) = 21.8409;
int_area(944) = 20.915;
int_area(945) = 19.878;
int_area(946) = 18.7337;
int_area(947) = 17.4819;
int_area(948) = 16.1204;
int_area(949) = 14.6428;
int_area(950) = 13.0359;
int_area(951) = 11.2838;
int_area(952) = 9.38571;
int_area(953) = 7.38327;
int_area(954) = 5.3776;
int_area(955) = 3.52827;
int_area(956) = 2.04429;
int_area(957) = 1.12041;
int_area(958) = 1.10938;
int_area(959) = 1.22742;
int_area(960) = 2.85594;
int_area(961) = 2.82117;
int_area(962) = 5.11033;
int_area(963) = 7.90615;
int_area(964) = 10.9779;
int_area(965) = 14.0729;
int_area(966) = 16.9395;
int_area(967) = 19.3617;
int_area(968) = 21.1909;
int_area(969) = 22.377;
int_area(970) = 22.9962;
int_area(971) = 23.2385;
int_area(972) = 23.2734;
int_area(973) = 23.1623;
int_area(974) = 22.904;
int_area(975) = 22.4934;
int_area(976) = 21.9369;
int_area(977) = 21.2421;
int_area(978) = 20.4126;
int_area(979) = 19.4492;
int_area(980) = 18.3513;
int_area(981) = 17.1142;
int_area(982) = 15.722;
int_area(983) = 14.1445;
int_area(984) = 12.35;
int_area(985) = 10.3377;
int_area(986) = 8.16836;
int_area(987) = 5.9715;
int_area(988) = 3.92894;
int_area(989) = 2.25695;
int_area(990) = 1.16993;
int_area(991) = 1.13156;
int_area(992) = 1.24738;
int_area(993) = 1.25092;
int_area(994) = 2.73921;
int_area(995) = 4.91197;
int_area(996) = 7.54862;
int_area(997) = 10.4128;
int_area(998) = 13.2606;
int_area(999) = 15.8638;
int_area(1000) = 18.0443;
int_area(1001) = 19.7051;
int_area(1002) = 20.8571;
int_area(1003) = 21.6127;
int_area(1004) = 22.1095;
int_area(1005) = 22.4261;
int_area(1006) = 22.5829;
int_area(1007) = 22.5797;
int_area(1008) = 22.4181;
int_area(1009) = 22.1022;
int_area(1010) = 21.6341;
int_area(1011) = 21.0146;
int_area(1012) = 20.2436;
int_area(1013) = 19.3185;
int_area(1014) = 18.2261;
int_area(1015) = 16.9296;
int_area(1016) = 15.3703;
int_area(1017) = 13.5014;
int_area(1018) = 11.3351;
int_area(1019) = 8.96453;
int_area(1020) = 6.55269;
int_area(1021) = 4.30551;
int_area(1022) = 2.44991;
int_area(1023) = 1.21033;
int_area(1024) = 1.1453;
